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Finding the Third Proportional to 21,410 and 34,163

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Solution

The third proportional to 21,410 and 34,163 is: 54,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410 : 34,163 = 34,163 : x
  2. Step 2: Convert to fraction form
    21,410/34,163 = 34,163/x
  3. Step 3: Cross multiply
    21,410x = 34,163 × 34,163
  4. Step 4: Simplify right side
    21,410x = 1,167,110,569
  5. Step 5: Solve for x
    x = 1,167,110,569/21,410
  6. Step 6: Final answer
    x = 54,512.40

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.