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Finding the Third Proportional to 258,687.25 and 386,437.88

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Solution

The third proportional to 258,687.25 and 386,437.88 is: 577,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,687.25 : 386,437.88 = 386,437.88 : x
  2. Step 2: Convert to fraction form
    258,687.25/386,437.88 = 386,437.88/x
  3. Step 3: Cross multiply
    258,687.25x = 386,437.88 × 386,437.88
  4. Step 4: Simplify right side
    258,687.25x = 149,334,231,234.52
  5. Step 5: Solve for x
    x = 149,334,231,234.52/258,687.25
  6. Step 6: Final answer
    x = 577,277.12

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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.