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Finding the Third Proportional to 21,739.50 and 29,119

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Solution

The third proportional to 21,739.50 and 29,119 is: 39,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,739.50 : 29,119 = 29,119 : x
  2. Step 2: Convert to fraction form
    21,739.50/29,119 = 29,119/x
  3. Step 3: Cross multiply
    21,739.50x = 29,119 × 29,119
  4. Step 4: Simplify right side
    21,739.50x = 847,916,161
  5. Step 5: Solve for x
    x = 847,916,161/21,739.50
  6. Step 6: Final answer
    x = 39,003.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.