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Finding the Third Proportional to 102.47 and 216.19

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Solution

The third proportional to 102.47 and 216.19 is: 456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.47 : 216.19 = 216.19 : x
  2. Step 2: Convert to fraction form
    102.47/216.19 = 216.19/x
  3. Step 3: Cross multiply
    102.47x = 216.19 × 216.19
  4. Step 4: Simplify right side
    102.47x = 46,737.04
  5. Step 5: Solve for x
    x = 46,737.04/102.47
  6. Step 6: Final answer
    x = 456.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.