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Finding the Third Proportional to 80,485.50 and 109,309.88

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Solution

The third proportional to 80,485.50 and 109,309.88 is: 148,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,485.50 : 109,309.88 = 109,309.88 : x
  2. Step 2: Convert to fraction form
    80,485.50/109,309.88 = 109,309.88/x
  3. Step 3: Cross multiply
    80,485.50x = 109,309.88 × 109,309.88
  4. Step 4: Simplify right side
    80,485.50x = 11,948,648,772.52
  5. Step 5: Solve for x
    x = 11,948,648,772.52/80,485.50
  6. Step 6: Final answer
    x = 148,457.16

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.