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Finding the Third Proportional to 217,378.69 and 463,644

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Solution

The third proportional to 217,378.69 and 463,644 is: 988,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,378.69 : 463,644 = 463,644 : x
  2. Step 2: Convert to fraction form
    217,378.69/463,644 = 463,644/x
  3. Step 3: Cross multiply
    217,378.69x = 463,644 × 463,644
  4. Step 4: Simplify right side
    217,378.69x = 214,965,758,736
  5. Step 5: Solve for x
    x = 214,965,758,736/217,378.69
  6. Step 6: Final answer
    x = 988,899.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.