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Finding the Third Proportional to 1,009,666,640 and 1,508,935,130

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Solution

The third proportional to 1,009,666,640 and 1,508,935,130 is: 2,255,086,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009,666,640 : 1,508,935,130 = 1,508,935,130 : x
  2. Step 2: Convert to fraction form
    1,009,666,640/1,508,935,130 = 1,508,935,130/x
  3. Step 3: Cross multiply
    1,009,666,640x = 1,508,935,130 × 1,508,935,130
  4. Step 4: Simplify right side
    1,009,666,640x = 2,276,885,226,548,116,992
  5. Step 5: Solve for x
    x = 2,276,885,226,548,116,992/1,009,666,640
  6. Step 6: Final answer
    x = 2,255,086,120.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.