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Finding the Third Proportional to 211,880.81 and 457,371.56

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Solution

The third proportional to 211,880.81 and 457,371.56 is: 987,294.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,880.81 : 457,371.56 = 457,371.56 : x
  2. Step 2: Convert to fraction form
    211,880.81/457,371.56 = 457,371.56/x
  3. Step 3: Cross multiply
    211,880.81x = 457,371.56 × 457,371.56
  4. Step 4: Simplify right side
    211,880.81x = 209,188,746,183.69
  5. Step 5: Solve for x
    x = 209,188,746,183.69/211,880.81
  6. Step 6: Final answer
    x = 987,294.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.