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Finding the Third Proportional to 20,850 and 31,454

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Solution

The third proportional to 20,850 and 31,454 is: 47,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850 : 31,454 = 31,454 : x
  2. Step 2: Convert to fraction form
    20,850/31,454 = 31,454/x
  3. Step 3: Cross multiply
    20,850x = 31,454 × 31,454
  4. Step 4: Simplify right side
    20,850x = 989,354,116
  5. Step 5: Solve for x
    x = 989,354,116/20,850
  6. Step 6: Final answer
    x = 47,451.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.