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Finding the Third Proportional to 66.02 and 99.77

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Solution

The third proportional to 66.02 and 99.77 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.02 : 99.77 = 99.77 : x
  2. Step 2: Convert to fraction form
    66.02/99.77 = 99.77/x
  3. Step 3: Cross multiply
    66.02x = 99.77 × 99.77
  4. Step 4: Simplify right side
    66.02x = 9,954.74
  5. Step 5: Solve for x
    x = 9,954.74/66.02
  6. Step 6: Final answer
    x = 150.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.