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Finding the Third Proportional to 20,280 and 27,348

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Solution

The third proportional to 20,280 and 27,348 is: 36,879.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280 : 27,348 = 27,348 : x
  2. Step 2: Convert to fraction form
    20,280/27,348 = 27,348/x
  3. Step 3: Cross multiply
    20,280x = 27,348 × 27,348
  4. Step 4: Simplify right side
    20,280x = 747,913,104
  5. Step 5: Solve for x
    x = 747,913,104/20,280
  6. Step 6: Final answer
    x = 36,879.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.