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Finding the Third Proportional to 9,420 and 21,909

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Solution

The third proportional to 9,420 and 21,909 is: 50,955.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420 : 21,909 = 21,909 : x
  2. Step 2: Convert to fraction form
    9,420/21,909 = 21,909/x
  3. Step 3: Cross multiply
    9,420x = 21,909 × 21,909
  4. Step 4: Simplify right side
    9,420x = 480,004,281
  5. Step 5: Solve for x
    x = 480,004,281/9,420
  6. Step 6: Final answer
    x = 50,955.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.