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Finding the Third Proportional to 129,762 and 278,923

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Solution

The third proportional to 129,762 and 278,923 is: 599,544.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762 : 278,923 = 278,923 : x
  2. Step 2: Convert to fraction form
    129,762/278,923 = 278,923/x
  3. Step 3: Cross multiply
    129,762x = 278,923 × 278,923
  4. Step 4: Simplify right side
    129,762x = 77,798,039,929
  5. Step 5: Solve for x
    x = 77,798,039,929/129,762
  6. Step 6: Final answer
    x = 599,544.09

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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.