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Finding the Third Proportional to 68,540 and 109,370

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Solution

The third proportional to 68,540 and 109,370 is: 174,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,540 : 109,370 = 109,370 : x
  2. Step 2: Convert to fraction form
    68,540/109,370 = 109,370/x
  3. Step 3: Cross multiply
    68,540x = 109,370 × 109,370
  4. Step 4: Simplify right side
    68,540x = 11,961,796,900
  5. Step 5: Solve for x
    x = 11,961,796,900/68,540
  6. Step 6: Final answer
    x = 174,522.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.