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Finding the Third Proportional to 217,121 and 449,040

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Solution

The third proportional to 217,121 and 449,040 is: 928,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,121 : 449,040 = 449,040 : x
  2. Step 2: Convert to fraction form
    217,121/449,040 = 449,040/x
  3. Step 3: Cross multiply
    217,121x = 449,040 × 449,040
  4. Step 4: Simplify right side
    217,121x = 201,636,921,600
  5. Step 5: Solve for x
    x = 201,636,921,600/217,121
  6. Step 6: Final answer
    x = 928,684.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.