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Finding the Third Proportional to 317,728.50 and 699,909

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Solution

The third proportional to 317,728.50 and 699,909 is: 1,541,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,728.50 : 699,909 = 699,909 : x
  2. Step 2: Convert to fraction form
    317,728.50/699,909 = 699,909/x
  3. Step 3: Cross multiply
    317,728.50x = 699,909 × 699,909
  4. Step 4: Simplify right side
    317,728.50x = 489,872,608,281
  5. Step 5: Solve for x
    x = 489,872,608,281/317,728.50
  6. Step 6: Final answer
    x = 1,541,796.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.