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Finding the Third Proportional to 180,290 and 338,020

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Solution

The third proportional to 180,290 and 338,020 is: 633,742.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,290 : 338,020 = 338,020 : x
  2. Step 2: Convert to fraction form
    180,290/338,020 = 338,020/x
  3. Step 3: Cross multiply
    180,290x = 338,020 × 338,020
  4. Step 4: Simplify right side
    180,290x = 114,257,520,400
  5. Step 5: Solve for x
    x = 114,257,520,400/180,290
  6. Step 6: Final answer
    x = 633,742.97

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.