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Finding the Third Proportional to 76,977 and 165,414

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Solution

The third proportional to 76,977 and 165,414 is: 355,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,977 : 165,414 = 165,414 : x
  2. Step 2: Convert to fraction form
    76,977/165,414 = 165,414/x
  3. Step 3: Cross multiply
    76,977x = 165,414 × 165,414
  4. Step 4: Simplify right side
    76,977x = 27,361,791,396
  5. Step 5: Solve for x
    x = 27,361,791,396/76,977
  6. Step 6: Final answer
    x = 355,454.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.