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Finding the Third Proportional to 101,128 and 152,962

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Solution

The third proportional to 101,128 and 152,962 is: 231,363.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,128 : 152,962 = 152,962 : x
  2. Step 2: Convert to fraction form
    101,128/152,962 = 152,962/x
  3. Step 3: Cross multiply
    101,128x = 152,962 × 152,962
  4. Step 4: Simplify right side
    101,128x = 23,397,373,444
  5. Step 5: Solve for x
    x = 23,397,373,444/101,128
  6. Step 6: Final answer
    x = 231,363.95

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