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Finding the Third Proportional to 79,409 and 170,329

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Solution

The third proportional to 79,409 and 170,329 is: 365,348.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,409 : 170,329 = 170,329 : x
  2. Step 2: Convert to fraction form
    79,409/170,329 = 170,329/x
  3. Step 3: Cross multiply
    79,409x = 170,329 × 170,329
  4. Step 4: Simplify right side
    79,409x = 29,011,968,241
  5. Step 5: Solve for x
    x = 29,011,968,241/79,409
  6. Step 6: Final answer
    x = 365,348.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.