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Finding the Third Proportional to 209,084 and 318,540

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Solution

The third proportional to 209,084 and 318,540 is: 485,296.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,084 : 318,540 = 318,540 : x
  2. Step 2: Convert to fraction form
    209,084/318,540 = 318,540/x
  3. Step 3: Cross multiply
    209,084x = 318,540 × 318,540
  4. Step 4: Simplify right side
    209,084x = 101,467,731,600
  5. Step 5: Solve for x
    x = 101,467,731,600/209,084
  6. Step 6: Final answer
    x = 485,296.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.