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Finding the Third Proportional to 9,420 and 20,392

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Solution

The third proportional to 9,420 and 20,392 is: 44,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420 : 20,392 = 20,392 : x
  2. Step 2: Convert to fraction form
    9,420/20,392 = 20,392/x
  3. Step 3: Cross multiply
    9,420x = 20,392 × 20,392
  4. Step 4: Simplify right side
    9,420x = 415,833,664
  5. Step 5: Solve for x
    x = 415,833,664/9,420
  6. Step 6: Final answer
    x = 44,143.70

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1.5x scale

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.