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Finding the Third Proportional to 211,888 and 457,384

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Solution

The third proportional to 211,888 and 457,384 is: 987,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,888 : 457,384 = 457,384 : x
  2. Step 2: Convert to fraction form
    211,888/457,384 = 457,384/x
  3. Step 3: Cross multiply
    211,888x = 457,384 × 457,384
  4. Step 4: Simplify right side
    211,888x = 209,200,123,456
  5. Step 5: Solve for x
    x = 209,200,123,456/211,888
  6. Step 6: Final answer
    x = 987,314.64

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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.