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Finding the Third Proportional to 82,602 and 131,284

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Solution

The third proportional to 82,602 and 131,284 is: 208,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,602 : 131,284 = 131,284 : x
  2. Step 2: Convert to fraction form
    82,602/131,284 = 131,284/x
  3. Step 3: Cross multiply
    82,602x = 131,284 × 131,284
  4. Step 4: Simplify right side
    82,602x = 17,235,488,656
  5. Step 5: Solve for x
    x = 17,235,488,656/82,602
  6. Step 6: Final answer
    x = 208,657.04

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.