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Finding the Third Proportional to 79,540 and 171,535

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Solution

The third proportional to 79,540 and 171,535 is: 369,930.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,540 : 171,535 = 171,535 : x
  2. Step 2: Convert to fraction form
    79,540/171,535 = 171,535/x
  3. Step 3: Cross multiply
    79,540x = 171,535 × 171,535
  4. Step 4: Simplify right side
    79,540x = 29,424,256,225
  5. Step 5: Solve for x
    x = 29,424,256,225/79,540
  6. Step 6: Final answer
    x = 369,930.30

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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.