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Finding the Third Proportional to 151.80 and 256.36

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Solution

The third proportional to 151.80 and 256.36 is: 432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 256.36 = 256.36 : x
  2. Step 2: Convert to fraction form
    151.80/256.36 = 256.36/x
  3. Step 3: Cross multiply
    151.80x = 256.36 × 256.36
  4. Step 4: Simplify right side
    151.80x = 65,720.13
  5. Step 5: Solve for x
    x = 65,720.13/151.80
  6. Step 6: Final answer
    x = 432.93

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.