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Finding the Third Proportional to 211,448 and 311,331

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Solution

The third proportional to 211,448 and 311,331 is: 458,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,448 : 311,331 = 311,331 : x
  2. Step 2: Convert to fraction form
    211,448/311,331 = 311,331/x
  3. Step 3: Cross multiply
    211,448x = 311,331 × 311,331
  4. Step 4: Simplify right side
    211,448x = 96,926,991,561
  5. Step 5: Solve for x
    x = 96,926,991,561/211,448
  6. Step 6: Final answer
    x = 458,396.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.