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Finding the Third Proportional to 10,720 and 22,124

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Solution

The third proportional to 10,720 and 22,124 is: 45,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 22,124 = 22,124 : x
  2. Step 2: Convert to fraction form
    10,720/22,124 = 22,124/x
  3. Step 3: Cross multiply
    10,720x = 22,124 × 22,124
  4. Step 4: Simplify right side
    10,720x = 489,471,376
  5. Step 5: Solve for x
    x = 489,471,376/10,720
  6. Step 6: Final answer
    x = 45,659.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.