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Finding the Third Proportional to 20,309 and 30,294

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Solution

The third proportional to 20,309 and 30,294 is: 45,188.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,309 : 30,294 = 30,294 : x
  2. Step 2: Convert to fraction form
    20,309/30,294 = 30,294/x
  3. Step 3: Cross multiply
    20,309x = 30,294 × 30,294
  4. Step 4: Simplify right side
    20,309x = 917,726,436
  5. Step 5: Solve for x
    x = 917,726,436/20,309
  6. Step 6: Final answer
    x = 45,188.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.