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Finding the Third Proportional to 100,928 and 214,154

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Solution

The third proportional to 100,928 and 214,154 is: 454,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,928 : 214,154 = 214,154 : x
  2. Step 2: Convert to fraction form
    100,928/214,154 = 214,154/x
  3. Step 3: Cross multiply
    100,928x = 214,154 × 214,154
  4. Step 4: Simplify right side
    100,928x = 45,861,935,716
  5. Step 5: Solve for x
    x = 45,861,935,716/100,928
  6. Step 6: Final answer
    x = 454,402.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.