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Finding the Third Proportional to 76,516 and 126,446

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Solution

The third proportional to 76,516 and 126,446 is: 208,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,516 : 126,446 = 126,446 : x
  2. Step 2: Convert to fraction form
    76,516/126,446 = 126,446/x
  3. Step 3: Cross multiply
    76,516x = 126,446 × 126,446
  4. Step 4: Simplify right side
    76,516x = 15,988,590,916
  5. Step 5: Solve for x
    x = 15,988,590,916/76,516
  6. Step 6: Final answer
    x = 208,957.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.