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Finding the Third Proportional to 129,794.50 and 278,979.50

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Solution

The third proportional to 129,794.50 and 278,979.50 is: 599,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,794.50 : 278,979.50 = 278,979.50 : x
  2. Step 2: Convert to fraction form
    129,794.50/278,979.50 = 278,979.50/x
  3. Step 3: Cross multiply
    129,794.50x = 278,979.50 × 278,979.50
  4. Step 4: Simplify right side
    129,794.50x = 77,829,561,420.25
  5. Step 5: Solve for x
    x = 77,829,561,420.25/129,794.50
  6. Step 6: Final answer
    x = 599,636.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.