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Finding the Third Proportional to 127,949.63 and 278,589.38

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Solution

The third proportional to 127,949.63 and 278,589.38 is: 606,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,949.63 : 278,589.38 = 278,589.38 : x
  2. Step 2: Convert to fraction form
    127,949.63/278,589.38 = 278,589.38/x
  3. Step 3: Cross multiply
    127,949.63x = 278,589.38 × 278,589.38
  4. Step 4: Simplify right side
    127,949.63x = 77,612,039,862.89
  5. Step 5: Solve for x
    x = 77,612,039,862.89/127,949.63
  6. Step 6: Final answer
    x = 606,582.78

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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.