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Finding the Third Proportional to 9,572.25 and 20,609.25

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Solution

The third proportional to 9,572.25 and 20,609.25 is: 44,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.25 : 20,609.25 = 20,609.25 : x
  2. Step 2: Convert to fraction form
    9,572.25/20,609.25 = 20,609.25/x
  3. Step 3: Cross multiply
    9,572.25x = 20,609.25 × 20,609.25
  4. Step 4: Simplify right side
    9,572.25x = 424,741,185.56
  5. Step 5: Solve for x
    x = 424,741,185.56/9,572.25
  6. Step 6: Final answer
    x = 44,372.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.