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Finding the Third Proportional to 34,102.13 and 80,387.25

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Solution

The third proportional to 34,102.13 and 80,387.25 is: 189,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.13 : 80,387.25 = 80,387.25 : x
  2. Step 2: Convert to fraction form
    34,102.13/80,387.25 = 80,387.25/x
  3. Step 3: Cross multiply
    34,102.13x = 80,387.25 × 80,387.25
  4. Step 4: Simplify right side
    34,102.13x = 6,462,109,962.56
  5. Step 5: Solve for x
    x = 6,462,109,962.56/34,102.13
  6. Step 6: Final answer
    x = 189,492.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.