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Finding the Third Proportional to 128,734.95 and 281,993.27

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Solution

The third proportional to 128,734.95 and 281,993.27 is: 617,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,734.95 : 281,993.27 = 281,993.27 : x
  2. Step 2: Convert to fraction form
    128,734.95/281,993.27 = 281,993.27/x
  3. Step 3: Cross multiply
    128,734.95x = 281,993.27 × 281,993.27
  4. Step 4: Simplify right side
    128,734.95x = 79,520,206,264.00
  5. Step 5: Solve for x
    x = 79,520,206,264.00/128,734.95
  6. Step 6: Final answer
    x = 617,704.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.