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Finding the Third Proportional to 206,209.50 and 309,859.50

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Solution

The third proportional to 206,209.50 and 309,859.50 is: 465,608.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,209.50 : 309,859.50 = 309,859.50 : x
  2. Step 2: Convert to fraction form
    206,209.50/309,859.50 = 309,859.50/x
  3. Step 3: Cross multiply
    206,209.50x = 309,859.50 × 309,859.50
  4. Step 4: Simplify right side
    206,209.50x = 96,012,909,740.25
  5. Step 5: Solve for x
    x = 96,012,909,740.25/206,209.50
  6. Step 6: Final answer
    x = 465,608.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.