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Finding the Third Proportional to 127,716 and 277,540

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Solution

The third proportional to 127,716 and 277,540 is: 603,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,716 : 277,540 = 277,540 : x
  2. Step 2: Convert to fraction form
    127,716/277,540 = 277,540/x
  3. Step 3: Cross multiply
    127,716x = 277,540 × 277,540
  4. Step 4: Simplify right side
    127,716x = 77,028,451,600
  5. Step 5: Solve for x
    x = 77,028,451,600/127,716
  6. Step 6: Final answer
    x = 603,122.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.