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Finding the Third Proportional to 76,977 and 169,074

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Solution

The third proportional to 76,977 and 169,074 is: 371,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977 : 169,074 = 169,074 : x
  2. Step 2: Convert to fraction form
    76,977/169,074 = 169,074/x
  3. Step 3: Cross multiply
    76,977x = 169,074 × 169,074
  4. Step 4: Simplify right side
    76,977x = 28,586,017,476
  5. Step 5: Solve for x
    x = 28,586,017,476/76,977
  6. Step 6: Final answer
    x = 371,357.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.