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Finding the Third Proportional to 20,214 and 31,032

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Solution

The third proportional to 20,214 and 31,032 is: 47,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,214 : 31,032 = 31,032 : x
  2. Step 2: Convert to fraction form
    20,214/31,032 = 31,032/x
  3. Step 3: Cross multiply
    20,214x = 31,032 × 31,032
  4. Step 4: Simplify right side
    20,214x = 962,985,024
  5. Step 5: Solve for x
    x = 962,985,024/20,214
  6. Step 6: Final answer
    x = 47,639.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.