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Finding the Third Proportional to 38,702 and 79,045

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Solution

The third proportional to 38,702 and 79,045 is: 161,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,702 : 79,045 = 79,045 : x
  2. Step 2: Convert to fraction form
    38,702/79,045 = 79,045/x
  3. Step 3: Cross multiply
    38,702x = 79,045 × 79,045
  4. Step 4: Simplify right side
    38,702x = 6,248,112,025
  5. Step 5: Solve for x
    x = 6,248,112,025/38,702
  6. Step 6: Final answer
    x = 161,441.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.