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Finding the Third Proportional to 77,936 and 125,511

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Solution

The third proportional to 77,936 and 125,511 is: 202,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,936 : 125,511 = 125,511 : x
  2. Step 2: Convert to fraction form
    77,936/125,511 = 125,511/x
  3. Step 3: Cross multiply
    77,936x = 125,511 × 125,511
  4. Step 4: Simplify right side
    77,936x = 15,753,011,121
  5. Step 5: Solve for x
    x = 15,753,011,121/77,936
  6. Step 6: Final answer
    x = 202,127.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.