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Finding the Third Proportional to 38,886.75 and 83,640.38

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Solution

The third proportional to 38,886.75 and 83,640.38 is: 179,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,886.75 : 83,640.38 = 83,640.38 : x
  2. Step 2: Convert to fraction form
    38,886.75/83,640.38 = 83,640.38/x
  3. Step 3: Cross multiply
    38,886.75x = 83,640.38 × 83,640.38
  4. Step 4: Simplify right side
    38,886.75x = 6,995,712,330.14
  5. Step 5: Solve for x
    x = 6,995,712,330.14/38,886.75
  6. Step 6: Final answer
    x = 179,899.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.