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Finding the Third Proportional to 91,932 and 142,920

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Solution

The third proportional to 91,932 and 142,920 is: 222,187.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,932 : 142,920 = 142,920 : x
  2. Step 2: Convert to fraction form
    91,932/142,920 = 142,920/x
  3. Step 3: Cross multiply
    91,932x = 142,920 × 142,920
  4. Step 4: Simplify right side
    91,932x = 20,426,126,400
  5. Step 5: Solve for x
    x = 20,426,126,400/91,932
  6. Step 6: Final answer
    x = 222,187.34

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.