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Finding the Third Proportional to 206,481.75 and 312,580.50

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Solution

The third proportional to 206,481.75 and 312,580.50 is: 473,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,481.75 : 312,580.50 = 312,580.50 : x
  2. Step 2: Convert to fraction form
    206,481.75/312,580.50 = 312,580.50/x
  3. Step 3: Cross multiply
    206,481.75x = 312,580.50 × 312,580.50
  4. Step 4: Simplify right side
    206,481.75x = 97,706,568,980.25
  5. Step 5: Solve for x
    x = 97,706,568,980.25/206,481.75
  6. Step 6: Final answer
    x = 473,197.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.