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Finding the Third Proportional to 14,287 and 31,218

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Solution

The third proportional to 14,287 and 31,218 is: 68,213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287 : 31,218 = 31,218 : x
  2. Step 2: Convert to fraction form
    14,287/31,218 = 31,218/x
  3. Step 3: Cross multiply
    14,287x = 31,218 × 31,218
  4. Step 4: Simplify right side
    14,287x = 974,563,524
  5. Step 5: Solve for x
    x = 974,563,524/14,287
  6. Step 6: Final answer
    x = 68,213.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.