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Finding the Third Proportional to 206,304.47 and 315,587.39

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Solution

The third proportional to 206,304.47 and 315,587.39 is: 482,759.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,304.47 : 315,587.39 = 315,587.39 : x
  2. Step 2: Convert to fraction form
    206,304.47/315,587.39 = 315,587.39/x
  3. Step 3: Cross multiply
    206,304.47x = 315,587.39 × 315,587.39
  4. Step 4: Simplify right side
    206,304.47x = 99,595,401,121.50
  5. Step 5: Solve for x
    x = 99,595,401,121.50/206,304.47
  6. Step 6: Final answer
    x = 482,759.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.