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Finding the Third Proportional to 154,620 and 338,760

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Solution

The third proportional to 154,620 and 338,760 is: 742,195.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,620 : 338,760 = 338,760 : x
  2. Step 2: Convert to fraction form
    154,620/338,760 = 338,760/x
  3. Step 3: Cross multiply
    154,620x = 338,760 × 338,760
  4. Step 4: Simplify right side
    154,620x = 114,758,337,600
  5. Step 5: Solve for x
    x = 114,758,337,600/154,620
  6. Step 6: Final answer
    x = 742,195.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.