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Finding the Third Proportional to 128,787.50 and 280,455.75

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Solution

The third proportional to 128,787.50 and 280,455.75 is: 610,738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,787.50 : 280,455.75 = 280,455.75 : x
  2. Step 2: Convert to fraction form
    128,787.50/280,455.75 = 280,455.75/x
  3. Step 3: Cross multiply
    128,787.50x = 280,455.75 × 280,455.75
  4. Step 4: Simplify right side
    128,787.50x = 78,655,427,708.06
  5. Step 5: Solve for x
    x = 78,655,427,708.06/128,787.50
  6. Step 6: Final answer
    x = 610,738.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.