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Finding the Third Proportional to 820,897,347 and 1,272,164,874

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Solution

The third proportional to 820,897,347 and 1,272,164,874 is: 1,971,505,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,897,347 : 1,272,164,874 = 1,272,164,874 : x
  2. Step 2: Convert to fraction form
    820,897,347/1,272,164,874 = 1,272,164,874/x
  3. Step 3: Cross multiply
    820,897,347x = 1,272,164,874 × 1,272,164,874
  4. Step 4: Simplify right side
    820,897,347x = 1,618,403,466,639,435,776
  5. Step 5: Solve for x
    x = 1,618,403,466,639,435,776/820,897,347
  6. Step 6: Final answer
    x = 1,971,505,295.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.