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Finding the Third Proportional to 56.43 and 123.40

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Solution

The third proportional to 56.43 and 123.40 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.43 : 123.40 = 123.40 : x
  2. Step 2: Convert to fraction form
    56.43/123.40 = 123.40/x
  3. Step 3: Cross multiply
    56.43x = 123.40 × 123.40
  4. Step 4: Simplify right side
    56.43x = 15,227.17
  5. Step 5: Solve for x
    x = 15,227.17/56.43
  6. Step 6: Final answer
    x = 269.86

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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.