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Finding the Third Proportional to 90,776 and 126,970

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Solution

The third proportional to 90,776 and 126,970 is: 177,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,776 : 126,970 = 126,970 : x
  2. Step 2: Convert to fraction form
    90,776/126,970 = 126,970/x
  3. Step 3: Cross multiply
    90,776x = 126,970 × 126,970
  4. Step 4: Simplify right side
    90,776x = 16,121,380,900
  5. Step 5: Solve for x
    x = 16,121,380,900/90,776
  6. Step 6: Final answer
    x = 177,595.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.