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Finding the Third Proportional to 442,867.50 and 649,539

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Solution

The third proportional to 442,867.50 and 649,539 is: 952,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,867.50 : 649,539 = 649,539 : x
  2. Step 2: Convert to fraction form
    442,867.50/649,539 = 649,539/x
  3. Step 3: Cross multiply
    442,867.50x = 649,539 × 649,539
  4. Step 4: Simplify right side
    442,867.50x = 421,900,912,521
  5. Step 5: Solve for x
    x = 421,900,912,521/442,867.50
  6. Step 6: Final answer
    x = 952,657.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.