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Finding the Third Proportional to 211,880.25 and 457,369.88

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Solution

The third proportional to 211,880.25 and 457,369.88 is: 987,289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,880.25 : 457,369.88 = 457,369.88 : x
  2. Step 2: Convert to fraction form
    211,880.25/457,369.88 = 457,369.88/x
  3. Step 3: Cross multiply
    211,880.25x = 457,369.88 × 457,369.88
  4. Step 4: Simplify right side
    211,880.25x = 209,187,202,557.52
  5. Step 5: Solve for x
    x = 209,187,202,557.52/211,880.25
  6. Step 6: Final answer
    x = 987,289.77

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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.