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Finding the Third Proportional to 19,715 and 29,777

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Solution

The third proportional to 19,715 and 29,777 is: 44,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715 : 29,777 = 29,777 : x
  2. Step 2: Convert to fraction form
    19,715/29,777 = 29,777/x
  3. Step 3: Cross multiply
    19,715x = 29,777 × 29,777
  4. Step 4: Simplify right side
    19,715x = 886,669,729
  5. Step 5: Solve for x
    x = 886,669,729/19,715
  6. Step 6: Final answer
    x = 44,974.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.