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Finding the Third Proportional to 20,445 and 30,847

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Solution

The third proportional to 20,445 and 30,847 is: 46,541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,445 : 30,847 = 30,847 : x
  2. Step 2: Convert to fraction form
    20,445/30,847 = 30,847/x
  3. Step 3: Cross multiply
    20,445x = 30,847 × 30,847
  4. Step 4: Simplify right side
    20,445x = 951,537,409
  5. Step 5: Solve for x
    x = 951,537,409/20,445
  6. Step 6: Final answer
    x = 46,541.33

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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.