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Finding the Third Proportional to 257,217.38 and 366,909

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Solution

The third proportional to 257,217.38 and 366,909 is: 523,379.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,217.38 : 366,909 = 366,909 : x
  2. Step 2: Convert to fraction form
    257,217.38/366,909 = 366,909/x
  3. Step 3: Cross multiply
    257,217.38x = 366,909 × 366,909
  4. Step 4: Simplify right side
    257,217.38x = 134,622,214,281
  5. Step 5: Solve for x
    x = 134,622,214,281/257,217.38
  6. Step 6: Final answer
    x = 523,379.16

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.