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Finding the Third Proportional to 9,712 and 20,809

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Solution

The third proportional to 9,712 and 20,809 is: 44,585.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712 : 20,809 = 20,809 : x
  2. Step 2: Convert to fraction form
    9,712/20,809 = 20,809/x
  3. Step 3: Cross multiply
    9,712x = 20,809 × 20,809
  4. Step 4: Simplify right side
    9,712x = 433,014,481
  5. Step 5: Solve for x
    x = 433,014,481/9,712
  6. Step 6: Final answer
    x = 44,585.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.