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Finding the Third Proportional to 4,221.75 and 8,713.50

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Solution

The third proportional to 4,221.75 and 8,713.50 is: 17,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221.75 : 8,713.50 = 8,713.50 : x
  2. Step 2: Convert to fraction form
    4,221.75/8,713.50 = 8,713.50/x
  3. Step 3: Cross multiply
    4,221.75x = 8,713.50 × 8,713.50
  4. Step 4: Simplify right side
    4,221.75x = 75,925,082.25
  5. Step 5: Solve for x
    x = 75,925,082.25/4,221.75
  6. Step 6: Final answer
    x = 17,984.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.