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Finding the Third Proportional to 697,497 and 987,228

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Solution

The third proportional to 697,497 and 987,228 is: 1,397,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,497 : 987,228 = 987,228 : x
  2. Step 2: Convert to fraction form
    697,497/987,228 = 987,228/x
  3. Step 3: Cross multiply
    697,497x = 987,228 × 987,228
  4. Step 4: Simplify right side
    697,497x = 974,619,123,984
  5. Step 5: Solve for x
    x = 974,619,123,984/697,497
  6. Step 6: Final answer
    x = 1,397,309.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.