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Finding the Third Proportional to 217,024 and 447,040

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Solution

The third proportional to 217,024 and 447,040 is: 920,841.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,024 : 447,040 = 447,040 : x
  2. Step 2: Convert to fraction form
    217,024/447,040 = 447,040/x
  3. Step 3: Cross multiply
    217,024x = 447,040 × 447,040
  4. Step 4: Simplify right side
    217,024x = 199,844,761,600
  5. Step 5: Solve for x
    x = 199,844,761,600/217,024
  6. Step 6: Final answer
    x = 920,841.76

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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.