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Finding the Third Proportional to 90.42 and 243.14

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Solution

The third proportional to 90.42 and 243.14 is: 653.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.42 : 243.14 = 243.14 : x
  2. Step 2: Convert to fraction form
    90.42/243.14 = 243.14/x
  3. Step 3: Cross multiply
    90.42x = 243.14 × 243.14
  4. Step 4: Simplify right side
    90.42x = 59,117.36
  5. Step 5: Solve for x
    x = 59,117.36/90.42
  6. Step 6: Final answer
    x = 653.79

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.