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Finding the Third Proportional to 20,305 and 31,250

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Solution

The third proportional to 20,305 and 31,250 is: 48,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305 : 31,250 = 31,250 : x
  2. Step 2: Convert to fraction form
    20,305/31,250 = 31,250/x
  3. Step 3: Cross multiply
    20,305x = 31,250 × 31,250
  4. Step 4: Simplify right side
    20,305x = 976,562,500
  5. Step 5: Solve for x
    x = 976,562,500/20,305
  6. Step 6: Final answer
    x = 48,094.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.