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Finding the Third Proportional to 697,498 and 987,231

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Solution

The third proportional to 697,498 and 987,231 is: 1,397,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,498 : 987,231 = 987,231 : x
  2. Step 2: Convert to fraction form
    697,498/987,231 = 987,231/x
  3. Step 3: Cross multiply
    697,498x = 987,231 × 987,231
  4. Step 4: Simplify right side
    697,498x = 974,625,047,361
  5. Step 5: Solve for x
    x = 974,625,047,361/697,498
  6. Step 6: Final answer
    x = 1,397,315.90

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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.