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Finding the Third Proportional to 62.25 and 99.38

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Solution

The third proportional to 62.25 and 99.38 is: 158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.25 : 99.38 = 99.38 : x
  2. Step 2: Convert to fraction form
    62.25/99.38 = 99.38/x
  3. Step 3: Cross multiply
    62.25x = 99.38 × 99.38
  4. Step 4: Simplify right side
    62.25x = 9,875.39
  5. Step 5: Solve for x
    x = 9,875.39/62.25
  6. Step 6: Final answer
    x = 158.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.