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Finding the Third Proportional to 21,337 and 28,313

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Solution

The third proportional to 21,337 and 28,313 is: 37,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,337 : 28,313 = 28,313 : x
  2. Step 2: Convert to fraction form
    21,337/28,313 = 28,313/x
  3. Step 3: Cross multiply
    21,337x = 28,313 × 28,313
  4. Step 4: Simplify right side
    21,337x = 801,625,969
  5. Step 5: Solve for x
    x = 801,625,969/21,337
  6. Step 6: Final answer
    x = 37,569.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.