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Finding the Third Proportional to 209,016 and 318,438

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Solution

The third proportional to 209,016 and 318,438 is: 485,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,016 : 318,438 = 318,438 : x
  2. Step 2: Convert to fraction form
    209,016/318,438 = 318,438/x
  3. Step 3: Cross multiply
    209,016x = 318,438 × 318,438
  4. Step 4: Simplify right side
    209,016x = 101,402,759,844
  5. Step 5: Solve for x
    x = 101,402,759,844/209,016
  6. Step 6: Final answer
    x = 485,143.53

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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.