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Finding the Third Proportional to 129,590 and 278,864

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Solution

The third proportional to 129,590 and 278,864 is: 600,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,590 : 278,864 = 278,864 : x
  2. Step 2: Convert to fraction form
    129,590/278,864 = 278,864/x
  3. Step 3: Cross multiply
    129,590x = 278,864 × 278,864
  4. Step 4: Simplify right side
    129,590x = 77,765,130,496
  5. Step 5: Solve for x
    x = 77,765,130,496/129,590
  6. Step 6: Final answer
    x = 600,085.89

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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.