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Finding the Third Proportional to 38,670 and 82,078

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Solution

The third proportional to 38,670 and 82,078 is: 174,212.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,670 : 82,078 = 82,078 : x
  2. Step 2: Convert to fraction form
    38,670/82,078 = 82,078/x
  3. Step 3: Cross multiply
    38,670x = 82,078 × 82,078
  4. Step 4: Simplify right side
    38,670x = 6,736,798,084
  5. Step 5: Solve for x
    x = 6,736,798,084/38,670
  6. Step 6: Final answer
    x = 174,212.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.