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Finding the Third Proportional to 91.30 and 197.02

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Solution

The third proportional to 91.30 and 197.02 is: 425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.30 : 197.02 = 197.02 : x
  2. Step 2: Convert to fraction form
    91.30/197.02 = 197.02/x
  3. Step 3: Cross multiply
    91.30x = 197.02 × 197.02
  4. Step 4: Simplify right side
    91.30x = 38,817.75
  5. Step 5: Solve for x
    x = 38,817.75/91.30
  6. Step 6: Final answer
    x = 425.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.