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Finding the Third Proportional to 21,310 and 49,774

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Solution

The third proportional to 21,310 and 49,774 is: 116,257.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,310 : 49,774 = 49,774 : x
  2. Step 2: Convert to fraction form
    21,310/49,774 = 49,774/x
  3. Step 3: Cross multiply
    21,310x = 49,774 × 49,774
  4. Step 4: Simplify right side
    21,310x = 2,477,451,076
  5. Step 5: Solve for x
    x = 2,477,451,076/21,310
  6. Step 6: Final answer
    x = 116,257.68

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.