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Finding the Third Proportional to 408,290 and 600,339

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Solution

The third proportional to 408,290 and 600,339 is: 882,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,290 : 600,339 = 600,339 : x
  2. Step 2: Convert to fraction form
    408,290/600,339 = 600,339/x
  3. Step 3: Cross multiply
    408,290x = 600,339 × 600,339
  4. Step 4: Simplify right side
    408,290x = 360,406,914,921
  5. Step 5: Solve for x
    x = 360,406,914,921/408,290
  6. Step 6: Final answer
    x = 882,722.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.