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Finding the Third Proportional to 145,523.25 and 217,387.13

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Solution

The third proportional to 145,523.25 and 217,387.13 is: 324,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.25 : 217,387.13 = 217,387.13 : x
  2. Step 2: Convert to fraction form
    145,523.25/217,387.13 = 217,387.13/x
  3. Step 3: Cross multiply
    145,523.25x = 217,387.13 × 217,387.13
  4. Step 4: Simplify right side
    145,523.25x = 47,257,162,115.77
  5. Step 5: Solve for x
    x = 47,257,162,115.77/145,523.25
  6. Step 6: Final answer
    x = 324,739.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.