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Finding the Third Proportional to 135,176 and 278,920

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Solution

The third proportional to 135,176 and 278,920 is: 575,519.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,176 : 278,920 = 278,920 : x
  2. Step 2: Convert to fraction form
    135,176/278,920 = 278,920/x
  3. Step 3: Cross multiply
    135,176x = 278,920 × 278,920
  4. Step 4: Simplify right side
    135,176x = 77,796,366,400
  5. Step 5: Solve for x
    x = 77,796,366,400/135,176
  6. Step 6: Final answer
    x = 575,519.07

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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.