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Finding the Third Proportional to 128,139.75 and 280,960.88

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Solution

The third proportional to 128,139.75 and 280,960.88 is: 616,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,139.75 : 280,960.88 = 280,960.88 : x
  2. Step 2: Convert to fraction form
    128,139.75/280,960.88 = 280,960.88/x
  3. Step 3: Cross multiply
    128,139.75x = 280,960.88 × 280,960.88
  4. Step 4: Simplify right side
    128,139.75x = 78,939,013,280.77
  5. Step 5: Solve for x
    x = 78,939,013,280.77/128,139.75
  6. Step 6: Final answer
    x = 616,038.45

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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.