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Finding the Third Proportional to 697,503 and 987,238

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Solution

The third proportional to 697,503 and 987,238 is: 1,397,325.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,503 : 987,238 = 987,238 : x
  2. Step 2: Convert to fraction form
    697,503/987,238 = 987,238/x
  3. Step 3: Cross multiply
    697,503x = 987,238 × 987,238
  4. Step 4: Simplify right side
    697,503x = 974,638,868,644
  5. Step 5: Solve for x
    x = 974,638,868,644/697,503
  6. Step 6: Final answer
    x = 1,397,325.70

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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.