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Finding the Third Proportional to 34,220 and 71,128

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Solution

The third proportional to 34,220 and 71,128 is: 147,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220 : 71,128 = 71,128 : x
  2. Step 2: Convert to fraction form
    34,220/71,128 = 71,128/x
  3. Step 3: Cross multiply
    34,220x = 71,128 × 71,128
  4. Step 4: Simplify right side
    34,220x = 5,059,192,384
  5. Step 5: Solve for x
    x = 5,059,192,384/34,220
  6. Step 6: Final answer
    x = 147,843.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.