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Finding the Third Proportional to 21,830 and 34,149

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Solution

The third proportional to 21,830 and 34,149 is: 53,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830 : 34,149 = 34,149 : x
  2. Step 2: Convert to fraction form
    21,830/34,149 = 34,149/x
  3. Step 3: Cross multiply
    21,830x = 34,149 × 34,149
  4. Step 4: Simplify right side
    21,830x = 1,166,154,201
  5. Step 5: Solve for x
    x = 1,166,154,201/21,830
  6. Step 6: Final answer
    x = 53,419.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.