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Finding the Third Proportional to 79,100 and 170,520

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Solution

The third proportional to 79,100 and 170,520 is: 367,598.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,100 : 170,520 = 170,520 : x
  2. Step 2: Convert to fraction form
    79,100/170,520 = 170,520/x
  3. Step 3: Cross multiply
    79,100x = 170,520 × 170,520
  4. Step 4: Simplify right side
    79,100x = 29,077,070,400
  5. Step 5: Solve for x
    x = 29,077,070,400/79,100
  6. Step 6: Final answer
    x = 367,598.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.