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Finding the Third Proportional to 20,239 and 30,287

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Solution

The third proportional to 20,239 and 30,287 is: 45,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,239 : 30,287 = 30,287 : x
  2. Step 2: Convert to fraction form
    20,239/30,287 = 30,287/x
  3. Step 3: Cross multiply
    20,239x = 30,287 × 30,287
  4. Step 4: Simplify right side
    20,239x = 917,302,369
  5. Step 5: Solve for x
    x = 917,302,369/20,239
  6. Step 6: Final answer
    x = 45,323.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.