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Finding the Third Proportional to 76,960 and 103,424

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Solution

The third proportional to 76,960 and 103,424 is: 138,988.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,960 : 103,424 = 103,424 : x
  2. Step 2: Convert to fraction form
    76,960/103,424 = 103,424/x
  3. Step 3: Cross multiply
    76,960x = 103,424 × 103,424
  4. Step 4: Simplify right side
    76,960x = 10,696,523,776
  5. Step 5: Solve for x
    x = 10,696,523,776/76,960
  6. Step 6: Final answer
    x = 138,988.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.