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Finding the Third Proportional to 80,644.50 and 128,116.13

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Solution

The third proportional to 80,644.50 and 128,116.13 is: 203,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,644.50 : 128,116.13 = 128,116.13 : x
  2. Step 2: Convert to fraction form
    80,644.50/128,116.13 = 128,116.13/x
  3. Step 3: Cross multiply
    80,644.50x = 128,116.13 × 128,116.13
  4. Step 4: Simplify right side
    80,644.50x = 16,413,741,485.02
  5. Step 5: Solve for x
    x = 16,413,741,485.02/80,644.50
  6. Step 6: Final answer
    x = 203,532.06

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Why These Related Problems?

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