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Finding the Third Proportional to 80,797.50 and 108,689.34

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Solution

The third proportional to 80,797.50 and 108,689.34 is: 146,209.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,797.50 : 108,689.34 = 108,689.34 : x
  2. Step 2: Convert to fraction form
    80,797.50/108,689.34 = 108,689.34/x
  3. Step 3: Cross multiply
    80,797.50x = 108,689.34 × 108,689.34
  4. Step 4: Simplify right side
    80,797.50x = 11,813,373,444.81
  5. Step 5: Solve for x
    x = 11,813,373,444.81/80,797.50
  6. Step 6: Final answer
    x = 146,209.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.