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Finding the Third Proportional to 201,216 and 418,960

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Solution

The third proportional to 201,216 and 418,960 is: 872,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,216 : 418,960 = 418,960 : x
  2. Step 2: Convert to fraction form
    201,216/418,960 = 418,960/x
  3. Step 3: Cross multiply
    201,216x = 418,960 × 418,960
  4. Step 4: Simplify right side
    201,216x = 175,527,481,600
  5. Step 5: Solve for x
    x = 175,527,481,600/201,216
  6. Step 6: Final answer
    x = 872,333.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.