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Finding the Third Proportional to 18,274 and 28,909

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Solution

The third proportional to 18,274 and 28,909 is: 45,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,274 : 28,909 = 28,909 : x
  2. Step 2: Convert to fraction form
    18,274/28,909 = 28,909/x
  3. Step 3: Cross multiply
    18,274x = 28,909 × 28,909
  4. Step 4: Simplify right side
    18,274x = 835,730,281
  5. Step 5: Solve for x
    x = 835,730,281/18,274
  6. Step 6: Final answer
    x = 45,733.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.