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Finding the Third Proportional to 153.38 and 270.47

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Solution

The third proportional to 153.38 and 270.47 is: 476.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.38 : 270.47 = 270.47 : x
  2. Step 2: Convert to fraction form
    153.38/270.47 = 270.47/x
  3. Step 3: Cross multiply
    153.38x = 270.47 × 270.47
  4. Step 4: Simplify right side
    153.38x = 73,153.34
  5. Step 5: Solve for x
    x = 73,153.34/153.38
  6. Step 6: Final answer
    x = 476.96

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.