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Finding the Third Proportional to 9,719 and 20,924

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Solution

The third proportional to 9,719 and 20,924 is: 45,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719 : 20,924 = 20,924 : x
  2. Step 2: Convert to fraction form
    9,719/20,924 = 20,924/x
  3. Step 3: Cross multiply
    9,719x = 20,924 × 20,924
  4. Step 4: Simplify right side
    9,719x = 437,813,776
  5. Step 5: Solve for x
    x = 437,813,776/9,719
  6. Step 6: Final answer
    x = 45,047.20

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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.