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Finding the Third Proportional to 63.56 and 98.02

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Solution

The third proportional to 63.56 and 98.02 is: 151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.56 : 98.02 = 98.02 : x
  2. Step 2: Convert to fraction form
    63.56/98.02 = 98.02/x
  3. Step 3: Cross multiply
    63.56x = 98.02 × 98.02
  4. Step 4: Simplify right side
    63.56x = 9,607.06
  5. Step 5: Solve for x
    x = 9,607.06/63.56
  6. Step 6: Final answer
    x = 151.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.