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Finding the Third Proportional to 82,620 and 170,130.38

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Solution

The third proportional to 82,620 and 170,130.38 is: 350,330.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,620 : 170,130.38 = 170,130.38 : x
  2. Step 2: Convert to fraction form
    82,620/170,130.38 = 170,130.38/x
  3. Step 3: Cross multiply
    82,620x = 170,130.38 × 170,130.38
  4. Step 4: Simplify right side
    82,620x = 28,944,344,497.64
  5. Step 5: Solve for x
    x = 28,944,344,497.64/82,620
  6. Step 6: Final answer
    x = 350,330.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.