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Finding the Third Proportional to 151.17 and 245.74

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Solution

The third proportional to 151.17 and 245.74 is: 399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.17 : 245.74 = 245.74 : x
  2. Step 2: Convert to fraction form
    151.17/245.74 = 245.74/x
  3. Step 3: Cross multiply
    151.17x = 245.74 × 245.74
  4. Step 4: Simplify right side
    151.17x = 60,389.22
  5. Step 5: Solve for x
    x = 60,389.22/151.17
  6. Step 6: Final answer
    x = 399.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.