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Finding the Third Proportional to 256,537.13 and 386,344.69

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Solution

The third proportional to 256,537.13 and 386,344.69 is: 581,834.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,537.13 : 386,344.69 = 386,344.69 : x
  2. Step 2: Convert to fraction form
    256,537.13/386,344.69 = 386,344.69/x
  3. Step 3: Cross multiply
    256,537.13x = 386,344.69 × 386,344.69
  4. Step 4: Simplify right side
    256,537.13x = 149,262,217,559.47
  5. Step 5: Solve for x
    x = 149,262,217,559.47/256,537.13
  6. Step 6: Final answer
    x = 581,834.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.