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Finding the Third Proportional to 134,856 and 278,424

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Solution

The third proportional to 134,856 and 278,424 is: 574,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,856 : 278,424 = 278,424 : x
  2. Step 2: Convert to fraction form
    134,856/278,424 = 278,424/x
  3. Step 3: Cross multiply
    134,856x = 278,424 × 278,424
  4. Step 4: Simplify right side
    134,856x = 77,519,923,776
  5. Step 5: Solve for x
    x = 77,519,923,776/134,856
  6. Step 6: Final answer
    x = 574,834.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.