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Finding the Third Proportional to 102,332 and 222,168

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Solution

The third proportional to 102,332 and 222,168 is: 482,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,332 : 222,168 = 222,168 : x
  2. Step 2: Convert to fraction form
    102,332/222,168 = 222,168/x
  3. Step 3: Cross multiply
    102,332x = 222,168 × 222,168
  4. Step 4: Simplify right side
    102,332x = 49,358,620,224
  5. Step 5: Solve for x
    x = 49,358,620,224/102,332
  6. Step 6: Final answer
    x = 482,338.08

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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.