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Finding the Third Proportional to 38,881.75 and 81,679.50

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Solution

The third proportional to 38,881.75 and 81,679.50 is: 171,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,881.75 : 81,679.50 = 81,679.50 : x
  2. Step 2: Convert to fraction form
    38,881.75/81,679.50 = 81,679.50/x
  3. Step 3: Cross multiply
    38,881.75x = 81,679.50 × 81,679.50
  4. Step 4: Simplify right side
    38,881.75x = 6,671,540,720.25
  5. Step 5: Solve for x
    x = 6,671,540,720.25/38,881.75
  6. Step 6: Final answer
    x = 171,585.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.