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Finding the Third Proportional to 71,734.50 and 141,633

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Solution

The third proportional to 71,734.50 and 141,633 is: 279,640.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,734.50 : 141,633 = 141,633 : x
  2. Step 2: Convert to fraction form
    71,734.50/141,633 = 141,633/x
  3. Step 3: Cross multiply
    71,734.50x = 141,633 × 141,633
  4. Step 4: Simplify right side
    71,734.50x = 20,059,906,689
  5. Step 5: Solve for x
    x = 20,059,906,689/71,734.50
  6. Step 6: Final answer
    x = 279,640.99

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.