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Finding the Third Proportional to 21,581 and 29,158

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Solution

The third proportional to 21,581 and 29,158 is: 39,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,581 : 29,158 = 29,158 : x
  2. Step 2: Convert to fraction form
    21,581/29,158 = 29,158/x
  3. Step 3: Cross multiply
    21,581x = 29,158 × 29,158
  4. Step 4: Simplify right side
    21,581x = 850,188,964
  5. Step 5: Solve for x
    x = 850,188,964/21,581
  6. Step 6: Final answer
    x = 39,395.25

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.