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Finding the Third Proportional to 697,518 and 987,256

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Solution

The third proportional to 697,518 and 987,256 is: 1,397,346.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,518 : 987,256 = 987,256 : x
  2. Step 2: Convert to fraction form
    697,518/987,256 = 987,256/x
  3. Step 3: Cross multiply
    697,518x = 987,256 × 987,256
  4. Step 4: Simplify right side
    697,518x = 974,674,409,536
  5. Step 5: Solve for x
    x = 974,674,409,536/697,518
  6. Step 6: Final answer
    x = 1,397,346.61

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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.