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Finding the Third Proportional to 21,634 and 31,599

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Solution

The third proportional to 21,634 and 31,599 is: 46,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634 : 31,599 = 31,599 : x
  2. Step 2: Convert to fraction form
    21,634/31,599 = 31,599/x
  3. Step 3: Cross multiply
    21,634x = 31,599 × 31,599
  4. Step 4: Simplify right side
    21,634x = 998,496,801
  5. Step 5: Solve for x
    x = 998,496,801/21,634
  6. Step 6: Final answer
    x = 46,154.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.