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Finding the Third Proportional to 145,909.69 and 217,937.25

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Solution

The third proportional to 145,909.69 and 217,937.25 is: 325,520.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,909.69 : 217,937.25 = 217,937.25 : x
  2. Step 2: Convert to fraction form
    145,909.69/217,937.25 = 217,937.25/x
  3. Step 3: Cross multiply
    145,909.69x = 217,937.25 × 217,937.25
  4. Step 4: Simplify right side
    145,909.69x = 47,496,644,937.56
  5. Step 5: Solve for x
    x = 47,496,644,937.56/145,909.69
  6. Step 6: Final answer
    x = 325,520.85

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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.