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Finding the Third Proportional to 217,536 and 446,784

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Solution

The third proportional to 217,536 and 446,784 is: 917,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,536 : 446,784 = 446,784 : x
  2. Step 2: Convert to fraction form
    217,536/446,784 = 446,784/x
  3. Step 3: Cross multiply
    217,536x = 446,784 × 446,784
  4. Step 4: Simplify right side
    217,536x = 199,615,942,656
  5. Step 5: Solve for x
    x = 199,615,942,656/217,536
  6. Step 6: Final answer
    x = 917,622.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.