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Finding the Third Proportional to 690,843,359 and 987,914,136

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Solution

The third proportional to 690,843,359 and 987,914,136 is: 1,412,728,844.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,843,359 : 987,914,136 = 987,914,136 : x
  2. Step 2: Convert to fraction form
    690,843,359/987,914,136 = 987,914,136/x
  3. Step 3: Cross multiply
    690,843,359x = 987,914,136 × 987,914,136
  4. Step 4: Simplify right side
    690,843,359x = 975,974,340,108,626,432
  5. Step 5: Solve for x
    x = 975,974,340,108,626,432/690,843,359
  6. Step 6: Final answer
    x = 1,412,728,844.24

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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.