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Finding the Third Proportional to 106 and 243.13

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Solution

The third proportional to 106 and 243.13 is: 557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106 : 243.13 = 243.13 : x
  2. Step 2: Convert to fraction form
    106/243.13 = 243.13/x
  3. Step 3: Cross multiply
    106x = 243.13 × 243.13
  4. Step 4: Simplify right side
    106x = 59,109.77
  5. Step 5: Solve for x
    x = 59,109.77/106
  6. Step 6: Final answer
    x = 557.64

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.