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Finding the Third Proportional to 21,102 and 31,701

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Solution

The third proportional to 21,102 and 31,701 is: 47,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102 : 31,701 = 31,701 : x
  2. Step 2: Convert to fraction form
    21,102/31,701 = 31,701/x
  3. Step 3: Cross multiply
    21,102x = 31,701 × 31,701
  4. Step 4: Simplify right side
    21,102x = 1,004,953,401
  5. Step 5: Solve for x
    x = 1,004,953,401/21,102
  6. Step 6: Final answer
    x = 47,623.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.