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Finding the Third Proportional to 256.71 and 562.46

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Solution

The third proportional to 256.71 and 562.46 is: 1,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 562.46 = 562.46 : x
  2. Step 2: Convert to fraction form
    256.71/562.46 = 562.46/x
  3. Step 3: Cross multiply
    256.71x = 562.46 × 562.46
  4. Step 4: Simplify right side
    256.71x = 316,366.70
  5. Step 5: Solve for x
    x = 316,366.70/256.71
  6. Step 6: Final answer
    x = 1,232.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.