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Finding the Third Proportional to 41,866 and 98,750

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Solution

The third proportional to 41,866 and 98,750 is: 232,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866 : 98,750 = 98,750 : x
  2. Step 2: Convert to fraction form
    41,866/98,750 = 98,750/x
  3. Step 3: Cross multiply
    41,866x = 98,750 × 98,750
  4. Step 4: Simplify right side
    41,866x = 9,751,562,500
  5. Step 5: Solve for x
    x = 9,751,562,500/41,866
  6. Step 6: Final answer
    x = 232,923.20

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.