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Finding the Third Proportional to 815,149,371 and 1,722,305,142

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Solution

The third proportional to 815,149,371 and 1,722,305,142 is: 3,639,007,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,149,371 : 1,722,305,142 = 1,722,305,142 : x
  2. Step 2: Convert to fraction form
    815,149,371/1,722,305,142 = 1,722,305,142/x
  3. Step 3: Cross multiply
    815,149,371x = 1,722,305,142 × 1,722,305,142
  4. Step 4: Simplify right side
    815,149,371x = 2,966,335,002,159,640,064
  5. Step 5: Solve for x
    x = 2,966,335,002,159,640,064/815,149,371
  6. Step 6: Final answer
    x = 3,639,007,901.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.