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Finding the Third Proportional to 22,620 and 33,250

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Solution

The third proportional to 22,620 and 33,250 is: 48,875.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620 : 33,250 = 33,250 : x
  2. Step 2: Convert to fraction form
    22,620/33,250 = 33,250/x
  3. Step 3: Cross multiply
    22,620x = 33,250 × 33,250
  4. Step 4: Simplify right side
    22,620x = 1,105,562,500
  5. Step 5: Solve for x
    x = 1,105,562,500/22,620
  6. Step 6: Final answer
    x = 48,875.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.