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Finding the Third Proportional to 20,289 and 30,348

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Solution

The third proportional to 20,289 and 30,348 is: 45,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,289 : 30,348 = 30,348 : x
  2. Step 2: Convert to fraction form
    20,289/30,348 = 30,348/x
  3. Step 3: Cross multiply
    20,289x = 30,348 × 30,348
  4. Step 4: Simplify right side
    20,289x = 921,001,104
  5. Step 5: Solve for x
    x = 921,001,104/20,289
  6. Step 6: Final answer
    x = 45,394.11

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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.