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Finding the Third Proportional to 68,891 and 97,515

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Solution

The third proportional to 68,891 and 97,515 is: 138,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,891 : 97,515 = 97,515 : x
  2. Step 2: Convert to fraction form
    68,891/97,515 = 97,515/x
  3. Step 3: Cross multiply
    68,891x = 97,515 × 97,515
  4. Step 4: Simplify right side
    68,891x = 9,509,175,225
  5. Step 5: Solve for x
    x = 9,509,175,225/68,891
  6. Step 6: Final answer
    x = 138,032.18

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.