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Finding the Third Proportional to 68,558 and 103,566

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Solution

The third proportional to 68,558 and 103,566 is: 156,450.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,558 : 103,566 = 103,566 : x
  2. Step 2: Convert to fraction form
    68,558/103,566 = 103,566/x
  3. Step 3: Cross multiply
    68,558x = 103,566 × 103,566
  4. Step 4: Simplify right side
    68,558x = 10,725,916,356
  5. Step 5: Solve for x
    x = 10,725,916,356/68,558
  6. Step 6: Final answer
    x = 156,450.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.