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Finding the Third Proportional to 129,764 and 278,927

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Solution

The third proportional to 129,764 and 278,927 is: 599,552.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,764 : 278,927 = 278,927 : x
  2. Step 2: Convert to fraction form
    129,764/278,927 = 278,927/x
  3. Step 3: Cross multiply
    129,764x = 278,927 × 278,927
  4. Step 4: Simplify right side
    129,764x = 77,800,271,329
  5. Step 5: Solve for x
    x = 77,800,271,329/129,764
  6. Step 6: Final answer
    x = 599,552.04

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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.