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Finding the Third Proportional to 21,308 and 29,878

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Solution

The third proportional to 21,308 and 29,878 is: 41,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,308 : 29,878 = 29,878 : x
  2. Step 2: Convert to fraction form
    21,308/29,878 = 29,878/x
  3. Step 3: Cross multiply
    21,308x = 29,878 × 29,878
  4. Step 4: Simplify right side
    21,308x = 892,694,884
  5. Step 5: Solve for x
    x = 892,694,884/21,308
  6. Step 6: Final answer
    x = 41,894.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.