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Finding the Third Proportional to 690,843,357 and 987,914,133

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Solution

The third proportional to 690,843,357 and 987,914,133 is: 1,412,728,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,843,357 : 987,914,133 = 987,914,133 : x
  2. Step 2: Convert to fraction form
    690,843,357/987,914,133 = 987,914,133/x
  3. Step 3: Cross multiply
    690,843,357x = 987,914,133 × 987,914,133
  4. Step 4: Simplify right side
    690,843,357x = 975,974,334,181,141,632
  5. Step 5: Solve for x
    x = 975,974,334,181,141,632/690,843,357
  6. Step 6: Final answer
    x = 1,412,728,839.75

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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.