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Finding the Third Proportional to 258,549.75 and 386,269.88

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Solution

The third proportional to 258,549.75 and 386,269.88 is: 577,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,549.75 : 386,269.88 = 386,269.88 : x
  2. Step 2: Convert to fraction form
    258,549.75/386,269.88 = 386,269.88/x
  3. Step 3: Cross multiply
    258,549.75x = 386,269.88 × 386,269.88
  4. Step 4: Simplify right side
    258,549.75x = 149,204,416,332.52
  5. Step 5: Solve for x
    x = 149,204,416,332.52/258,549.75
  6. Step 6: Final answer
    x = 577,082.04

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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.