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Finding the Third Proportional to 437,909.50 and 665,089

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Solution

The third proportional to 437,909.50 and 665,089 is: 1,010,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,909.50 : 665,089 = 665,089 : x
  2. Step 2: Convert to fraction form
    437,909.50/665,089 = 665,089/x
  3. Step 3: Cross multiply
    437,909.50x = 665,089 × 665,089
  4. Step 4: Simplify right side
    437,909.50x = 442,343,377,921
  5. Step 5: Solve for x
    x = 442,343,377,921/437,909.50
  6. Step 6: Final answer
    x = 1,010,125.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.