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Finding the Third Proportional to 201,048 and 418,434

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Solution

The third proportional to 201,048 and 418,434 is: 870,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,048 : 418,434 = 418,434 : x
  2. Step 2: Convert to fraction form
    201,048/418,434 = 418,434/x
  3. Step 3: Cross multiply
    201,048x = 418,434 × 418,434
  4. Step 4: Simplify right side
    201,048x = 175,087,012,356
  5. Step 5: Solve for x
    x = 175,087,012,356/201,048
  6. Step 6: Final answer
    x = 870,871.69

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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.