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Finding the Third Proportional to 68,476 and 108,655

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Solution

The third proportional to 68,476 and 108,655 is: 172,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,476 : 108,655 = 108,655 : x
  2. Step 2: Convert to fraction form
    68,476/108,655 = 108,655/x
  3. Step 3: Cross multiply
    68,476x = 108,655 × 108,655
  4. Step 4: Simplify right side
    68,476x = 11,805,909,025
  5. Step 5: Solve for x
    x = 11,805,909,025/68,476
  6. Step 6: Final answer
    x = 172,409.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.