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Finding the Third Proportional to 9,666 and 22,065.75

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Solution

The third proportional to 9,666 and 22,065.75 is: 50,372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666 : 22,065.75 = 22,065.75 : x
  2. Step 2: Convert to fraction form
    9,666/22,065.75 = 22,065.75/x
  3. Step 3: Cross multiply
    9,666x = 22,065.75 × 22,065.75
  4. Step 4: Simplify right side
    9,666x = 486,897,323.06
  5. Step 5: Solve for x
    x = 486,897,323.06/9,666
  6. Step 6: Final answer
    x = 50,372.16

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.