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Finding the Third Proportional to 217,028 and 447,048

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Solution

The third proportional to 217,028 and 447,048 is: 920,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,028 : 447,048 = 447,048 : x
  2. Step 2: Convert to fraction form
    217,028/447,048 = 447,048/x
  3. Step 3: Cross multiply
    217,028x = 447,048 × 447,048
  4. Step 4: Simplify right side
    217,028x = 199,851,914,304
  5. Step 5: Solve for x
    x = 199,851,914,304/217,028
  6. Step 6: Final answer
    x = 920,857.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.