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Finding the Third Proportional to 38,638.13 and 82,379.63

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Solution

The third proportional to 38,638.13 and 82,379.63 is: 175,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,638.13 : 82,379.63 = 82,379.63 : x
  2. Step 2: Convert to fraction form
    38,638.13/82,379.63 = 82,379.63/x
  3. Step 3: Cross multiply
    38,638.13x = 82,379.63 × 82,379.63
  4. Step 4: Simplify right side
    38,638.13x = 6,786,402,615.14
  5. Step 5: Solve for x
    x = 6,786,402,615.14/38,638.13
  6. Step 6: Final answer
    x = 175,640.06

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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.