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Finding the Third Proportional to 462.09 and 1,115.16

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Solution

The third proportional to 462.09 and 1,115.16 is: 2,691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.09 : 1,115.16 = 1,115.16 : x
  2. Step 2: Convert to fraction form
    462.09/1,115.16 = 1,115.16/x
  3. Step 3: Cross multiply
    462.09x = 1,115.16 × 1,115.16
  4. Step 4: Simplify right side
    462.09x = 1,243,573.46
  5. Step 5: Solve for x
    x = 1,243,573.46/462.09
  6. Step 6: Final answer
    x = 2,691.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.