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Finding the Third Proportional to 77,676 and 169,890

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Solution

The third proportional to 77,676 and 169,890 is: 371,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676 : 169,890 = 169,890 : x
  2. Step 2: Convert to fraction form
    77,676/169,890 = 169,890/x
  3. Step 3: Cross multiply
    77,676x = 169,890 × 169,890
  4. Step 4: Simplify right side
    77,676x = 28,862,612,100
  5. Step 5: Solve for x
    x = 28,862,612,100/77,676
  6. Step 6: Final answer
    x = 371,576.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.