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Finding the Third Proportional to 217,899 and 295,720.50

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Solution

The third proportional to 217,899 and 295,720.50 is: 401,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,899 : 295,720.50 = 295,720.50 : x
  2. Step 2: Convert to fraction form
    217,899/295,720.50 = 295,720.50/x
  3. Step 3: Cross multiply
    217,899x = 295,720.50 × 295,720.50
  4. Step 4: Simplify right side
    217,899x = 87,450,614,120.25
  5. Step 5: Solve for x
    x = 87,450,614,120.25/217,899
  6. Step 6: Final answer
    x = 401,335.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.