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Finding the Third Proportional to 102,216 and 222,432

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Solution

The third proportional to 102,216 and 222,432 is: 484,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216 : 222,432 = 222,432 : x
  2. Step 2: Convert to fraction form
    102,216/222,432 = 222,432/x
  3. Step 3: Cross multiply
    102,216x = 222,432 × 222,432
  4. Step 4: Simplify right side
    102,216x = 49,475,994,624
  5. Step 5: Solve for x
    x = 49,475,994,624/102,216
  6. Step 6: Final answer
    x = 484,033.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.