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Finding the Third Proportional to 125,680 and 269,696

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Solution

The third proportional to 125,680 and 269,696 is: 578,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,680 : 269,696 = 269,696 : x
  2. Step 2: Convert to fraction form
    125,680/269,696 = 269,696/x
  3. Step 3: Cross multiply
    125,680x = 269,696 × 269,696
  4. Step 4: Simplify right side
    125,680x = 72,735,932,416
  5. Step 5: Solve for x
    x = 72,735,932,416/125,680
  6. Step 6: Final answer
    x = 578,739.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.