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Finding the Third Proportional to 129,796 and 278,982

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Solution

The third proportional to 129,796 and 278,982 is: 599,640.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,796 : 278,982 = 278,982 : x
  2. Step 2: Convert to fraction form
    129,796/278,982 = 278,982/x
  3. Step 3: Cross multiply
    129,796x = 278,982 × 278,982
  4. Step 4: Simplify right side
    129,796x = 77,830,956,324
  5. Step 5: Solve for x
    x = 77,830,956,324/129,796
  6. Step 6: Final answer
    x = 599,640.64

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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.