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Finding the Third Proportional to 76,979 and 165,418

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Solution

The third proportional to 76,979 and 165,418 is: 355,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,979 : 165,418 = 165,418 : x
  2. Step 2: Convert to fraction form
    76,979/165,418 = 165,418/x
  3. Step 3: Cross multiply
    76,979x = 165,418 × 165,418
  4. Step 4: Simplify right side
    76,979x = 27,363,114,724
  5. Step 5: Solve for x
    x = 27,363,114,724/76,979
  6. Step 6: Final answer
    x = 355,462.07

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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.