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Finding the Third Proportional to 256,425.75 and 556,318.13

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Solution

The third proportional to 256,425.75 and 556,318.13 is: 1,206,937.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,425.75 : 556,318.13 = 556,318.13 : x
  2. Step 2: Convert to fraction form
    256,425.75/556,318.13 = 556,318.13/x
  3. Step 3: Cross multiply
    256,425.75x = 556,318.13 × 556,318.13
  4. Step 4: Simplify right side
    256,425.75x = 309,489,856,203.52
  5. Step 5: Solve for x
    x = 309,489,856,203.52/256,425.75
  6. Step 6: Final answer
    x = 1,206,937.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.