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Finding the Third Proportional to 68,566 and 103,580

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Solution

The third proportional to 68,566 and 103,580 is: 156,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,566 : 103,580 = 103,580 : x
  2. Step 2: Convert to fraction form
    68,566/103,580 = 103,580/x
  3. Step 3: Cross multiply
    68,566x = 103,580 × 103,580
  4. Step 4: Simplify right side
    68,566x = 10,728,816,400
  5. Step 5: Solve for x
    x = 10,728,816,400/68,566
  6. Step 6: Final answer
    x = 156,474.29

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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.