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Finding the Third Proportional to 129,771 and 278,943

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Solution

The third proportional to 129,771 and 278,943 is: 599,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,771 : 278,943 = 278,943 : x
  2. Step 2: Convert to fraction form
    129,771/278,943 = 278,943/x
  3. Step 3: Cross multiply
    129,771x = 278,943 × 278,943
  4. Step 4: Simplify right side
    129,771x = 77,809,197,249
  5. Step 5: Solve for x
    x = 77,809,197,249/129,771
  6. Step 6: Final answer
    x = 599,588.48

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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.