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Finding the Third Proportional to 62,400 and 127,716

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Solution

The third proportional to 62,400 and 127,716 is: 261,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,400 : 127,716 = 127,716 : x
  2. Step 2: Convert to fraction form
    62,400/127,716 = 127,716/x
  3. Step 3: Cross multiply
    62,400x = 127,716 × 127,716
  4. Step 4: Simplify right side
    62,400x = 16,311,376,656
  5. Step 5: Solve for x
    x = 16,311,376,656/62,400
  6. Step 6: Final answer
    x = 261,400.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.