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Finding the Third Proportional to 152.16 and 252.14

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Solution

The third proportional to 152.16 and 252.14 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 252.14 = 252.14 : x
  2. Step 2: Convert to fraction form
    152.16/252.14 = 252.14/x
  3. Step 3: Cross multiply
    152.16x = 252.14 × 252.14
  4. Step 4: Simplify right side
    152.16x = 63,574.89
  5. Step 5: Solve for x
    x = 63,574.89/152.16
  6. Step 6: Final answer
    x = 417.83

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.