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Finding the Third Proportional to 102,552 and 222,600

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Solution

The third proportional to 102,552 and 222,600 is: 483,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,552 : 222,600 = 222,600 : x
  2. Step 2: Convert to fraction form
    102,552/222,600 = 222,600/x
  3. Step 3: Cross multiply
    102,552x = 222,600 × 222,600
  4. Step 4: Simplify right side
    102,552x = 49,550,760,000
  5. Step 5: Solve for x
    x = 49,550,760,000/102,552
  6. Step 6: Final answer
    x = 483,176.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.