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Finding the Third Proportional to 21,738 and 47,514

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Solution

The third proportional to 21,738 and 47,514 is: 103,854.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738 : 47,514 = 47,514 : x
  2. Step 2: Convert to fraction form
    21,738/47,514 = 47,514/x
  3. Step 3: Cross multiply
    21,738x = 47,514 × 47,514
  4. Step 4: Simplify right side
    21,738x = 2,257,580,196
  5. Step 5: Solve for x
    x = 2,257,580,196/21,738
  6. Step 6: Final answer
    x = 103,854.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.