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Finding the Third Proportional to 438,110 and 659,110

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Solution

The third proportional to 438,110 and 659,110 is: 991,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,110 : 659,110 = 659,110 : x
  2. Step 2: Convert to fraction form
    438,110/659,110 = 659,110/x
  3. Step 3: Cross multiply
    438,110x = 659,110 × 659,110
  4. Step 4: Simplify right side
    438,110x = 434,425,992,100
  5. Step 5: Solve for x
    x = 434,425,992,100/438,110
  6. Step 6: Final answer
    x = 991,591.13

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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.