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Finding the Third Proportional to 22,220 and 31,251

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Solution

The third proportional to 22,220 and 31,251 is: 43,952.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,220 : 31,251 = 31,251 : x
  2. Step 2: Convert to fraction form
    22,220/31,251 = 31,251/x
  3. Step 3: Cross multiply
    22,220x = 31,251 × 31,251
  4. Step 4: Simplify right side
    22,220x = 976,625,001
  5. Step 5: Solve for x
    x = 976,625,001/22,220
  6. Step 6: Final answer
    x = 43,952.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.