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Finding the Third Proportional to 211,990.50 and 457,218

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Solution

The third proportional to 211,990.50 and 457,218 is: 986,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,990.50 : 457,218 = 457,218 : x
  2. Step 2: Convert to fraction form
    211,990.50/457,218 = 457,218/x
  3. Step 3: Cross multiply
    211,990.50x = 457,218 × 457,218
  4. Step 4: Simplify right side
    211,990.50x = 209,048,299,524
  5. Step 5: Solve for x
    x = 209,048,299,524/211,990.50
  6. Step 6: Final answer
    x = 986,121.07

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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.