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Finding the Third Proportional to 211,471 and 311,365

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Solution

The third proportional to 211,471 and 311,365 is: 458,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,471 : 311,365 = 311,365 : x
  2. Step 2: Convert to fraction form
    211,471/311,365 = 311,365/x
  3. Step 3: Cross multiply
    211,471x = 311,365 × 311,365
  4. Step 4: Simplify right side
    211,471x = 96,948,163,225
  5. Step 5: Solve for x
    x = 96,948,163,225/211,471
  6. Step 6: Final answer
    x = 458,446.61

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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.