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Finding the Third Proportional to 82,755 and 131,100.75

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Solution

The third proportional to 82,755 and 131,100.75 is: 207,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,755 : 131,100.75 = 131,100.75 : x
  2. Step 2: Convert to fraction form
    82,755/131,100.75 = 131,100.75/x
  3. Step 3: Cross multiply
    82,755x = 131,100.75 × 131,100.75
  4. Step 4: Simplify right side
    82,755x = 17,187,406,650.56
  5. Step 5: Solve for x
    x = 17,187,406,650.56/82,755
  6. Step 6: Final answer
    x = 207,690.25

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.