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Finding the Third Proportional to 21,906 and 34,319

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Solution

The third proportional to 21,906 and 34,319 is: 53,765.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906 : 34,319 = 34,319 : x
  2. Step 2: Convert to fraction form
    21,906/34,319 = 34,319/x
  3. Step 3: Cross multiply
    21,906x = 34,319 × 34,319
  4. Step 4: Simplify right side
    21,906x = 1,177,793,761
  5. Step 5: Solve for x
    x = 1,177,793,761/21,906
  6. Step 6: Final answer
    x = 53,765.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.