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Finding the Third Proportional to 9,586 and 20,712

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Solution

The third proportional to 9,586 and 20,712 is: 44,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586 : 20,712 = 20,712 : x
  2. Step 2: Convert to fraction form
    9,586/20,712 = 20,712/x
  3. Step 3: Cross multiply
    9,586x = 20,712 × 20,712
  4. Step 4: Simplify right side
    9,586x = 428,986,944
  5. Step 5: Solve for x
    x = 428,986,944/9,586
  6. Step 6: Final answer
    x = 44,751.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.