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Finding the Third Proportional to 152.67 and 269.74

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Solution

The third proportional to 152.67 and 269.74 is: 476.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.67 : 269.74 = 269.74 : x
  2. Step 2: Convert to fraction form
    152.67/269.74 = 269.74/x
  3. Step 3: Cross multiply
    152.67x = 269.74 × 269.74
  4. Step 4: Simplify right side
    152.67x = 72,757.69
  5. Step 5: Solve for x
    x = 72,757.69/152.67
  6. Step 6: Final answer
    x = 476.58

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.