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Finding the Third Proportional to 485,323,677,798 and 1,055,120,535,804

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Solution

The third proportional to 485,323,677,798 and 1,055,120,535,804 is: 2,293,890,440,553.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,323,677,798 : 1,055,120,535,804 = 1,055,120,535,804 : x
  2. Step 2: Convert to fraction form
    485,323,677,798/1,055,120,535,804 = 1,055,120,535,804/x
  3. Step 3: Cross multiply
    485,323,677,798x = 1,055,120,535,804 × 1,055,120,535,804
  4. Step 4: Simplify right side
    485,323,677,798x = 1,113,279,345,075,319,983,833,088
  5. Step 5: Solve for x
    x = 1,113,279,345,075,319,983,833,088/485,323,677,798
  6. Step 6: Final answer
    x = 2,293,890,440,553.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.