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Finding the Third Proportional to 61.95 and 133.80

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Solution

The third proportional to 61.95 and 133.80 is: 289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.95 : 133.80 = 133.80 : x
  2. Step 2: Convert to fraction form
    61.95/133.80 = 133.80/x
  3. Step 3: Cross multiply
    61.95x = 133.80 × 133.80
  4. Step 4: Simplify right side
    61.95x = 17,903.69
  5. Step 5: Solve for x
    x = 17,903.69/61.95
  6. Step 6: Final answer
    x = 289.02

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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.