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Finding the Third Proportional to 690,843,319.88 and 987,914,100.38

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Solution

The third proportional to 690,843,319.88 and 987,914,100.38 is: 1,412,728,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,843,319.88 : 987,914,100.38 = 987,914,100.38 : x
  2. Step 2: Convert to fraction form
    690,843,319.88/987,914,100.38 = 987,914,100.38/x
  3. Step 3: Cross multiply
    690,843,319.88x = 987,914,100.38 × 987,914,100.38
  4. Step 4: Simplify right side
    690,843,319.88x = 975,974,269,719,745,536
  5. Step 5: Solve for x
    x = 975,974,269,719,745,536/690,843,319.88
  6. Step 6: Final answer
    x = 1,412,728,822.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.