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Finding the Third Proportional to 82,170 and 174,934.13

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Solution

The third proportional to 82,170 and 174,934.13 is: 372,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,170 : 174,934.13 = 174,934.13 : x
  2. Step 2: Convert to fraction form
    82,170/174,934.13 = 174,934.13/x
  3. Step 3: Cross multiply
    82,170x = 174,934.13 × 174,934.13
  4. Step 4: Simplify right side
    82,170x = 30,601,948,089.52
  5. Step 5: Solve for x
    x = 30,601,948,089.52/82,170
  6. Step 6: Final answer
    x = 372,422.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.