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Finding the Third Proportional to 136,434 and 278,416.50

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Solution

The third proportional to 136,434 and 278,416.50 is: 568,155.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,434 : 278,416.50 = 278,416.50 : x
  2. Step 2: Convert to fraction form
    136,434/278,416.50 = 278,416.50/x
  3. Step 3: Cross multiply
    136,434x = 278,416.50 × 278,416.50
  4. Step 4: Simplify right side
    136,434x = 77,515,747,472.25
  5. Step 5: Solve for x
    x = 77,515,747,472.25/136,434
  6. Step 6: Final answer
    x = 568,155.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.