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Finding the Third Proportional to 442,602 and 649,378.13

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Solution

The third proportional to 442,602 and 649,378.13 is: 952,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,602 : 649,378.13 = 649,378.13 : x
  2. Step 2: Convert to fraction form
    442,602/649,378.13 = 649,378.13/x
  3. Step 3: Cross multiply
    442,602x = 649,378.13 × 649,378.13
  4. Step 4: Simplify right side
    442,602x = 421,691,949,228.52
  5. Step 5: Solve for x
    x = 421,691,949,228.52/442,602
  6. Step 6: Final answer
    x = 952,756.54

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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.