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Finding the Third Proportional to 91,486 and 142,763

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Solution

The third proportional to 91,486 and 142,763 is: 222,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,486 : 142,763 = 142,763 : x
  2. Step 2: Convert to fraction form
    91,486/142,763 = 142,763/x
  3. Step 3: Cross multiply
    91,486x = 142,763 × 142,763
  4. Step 4: Simplify right side
    91,486x = 20,381,274,169
  5. Step 5: Solve for x
    x = 20,381,274,169/91,486
  6. Step 6: Final answer
    x = 222,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.