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Finding the Third Proportional to 82,818 and 129,147.75

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Solution

The third proportional to 82,818 and 129,147.75 is: 201,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,818 : 129,147.75 = 129,147.75 : x
  2. Step 2: Convert to fraction form
    82,818/129,147.75 = 129,147.75/x
  3. Step 3: Cross multiply
    82,818x = 129,147.75 × 129,147.75
  4. Step 4: Simplify right side
    82,818x = 16,679,141,330.06
  5. Step 5: Solve for x
    x = 16,679,141,330.06/82,818
  6. Step 6: Final answer
    x = 201,395.12

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.