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Finding the Third Proportional to 56 and 151.25

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Solution

The third proportional to 56 and 151.25 is: 408.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56 : 151.25 = 151.25 : x
  2. Step 2: Convert to fraction form
    56/151.25 = 151.25/x
  3. Step 3: Cross multiply
    56x = 151.25 × 151.25
  4. Step 4: Simplify right side
    56x = 22,876.56
  5. Step 5: Solve for x
    x = 22,876.56/56
  6. Step 6: Final answer
    x = 408.51

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.