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Finding the Third Proportional to 659,675 and 987,784

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Solution

The third proportional to 659,675 and 987,784 is: 1,479,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,675 : 987,784 = 987,784 : x
  2. Step 2: Convert to fraction form
    659,675/987,784 = 987,784/x
  3. Step 3: Cross multiply
    659,675x = 987,784 × 987,784
  4. Step 4: Simplify right side
    659,675x = 975,717,230,656
  5. Step 5: Solve for x
    x = 975,717,230,656/659,675
  6. Step 6: Final answer
    x = 1,479,087.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.