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Finding the Third Proportional to 68,411 and 98,991

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Solution

The third proportional to 68,411 and 98,991 is: 143,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,411 : 98,991 = 98,991 : x
  2. Step 2: Convert to fraction form
    68,411/98,991 = 98,991/x
  3. Step 3: Cross multiply
    68,411x = 98,991 × 98,991
  4. Step 4: Simplify right side
    68,411x = 9,799,218,081
  5. Step 5: Solve for x
    x = 9,799,218,081/68,411
  6. Step 6: Final answer
    x = 143,240.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.