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Finding the Third Proportional to 21,109 and 29,686

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Solution

The third proportional to 21,109 and 29,686 is: 41,748.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,109 : 29,686 = 29,686 : x
  2. Step 2: Convert to fraction form
    21,109/29,686 = 29,686/x
  3. Step 3: Cross multiply
    21,109x = 29,686 × 29,686
  4. Step 4: Simplify right side
    21,109x = 881,258,596
  5. Step 5: Solve for x
    x = 881,258,596/21,109
  6. Step 6: Final answer
    x = 41,748.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.