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Finding the Third Proportional to 321,798 and 698,954

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Solution

The third proportional to 321,798 and 698,954 is: 1,518,147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,798 : 698,954 = 698,954 : x
  2. Step 2: Convert to fraction form
    321,798/698,954 = 698,954/x
  3. Step 3: Cross multiply
    321,798x = 698,954 × 698,954
  4. Step 4: Simplify right side
    321,798x = 488,536,694,116
  5. Step 5: Solve for x
    x = 488,536,694,116/321,798
  6. Step 6: Final answer
    x = 1,518,147.08

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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.