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Finding the Third Proportional to 71,012 and 110,412

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Solution

The third proportional to 71,012 and 110,412 is: 171,672.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,012 : 110,412 = 110,412 : x
  2. Step 2: Convert to fraction form
    71,012/110,412 = 110,412/x
  3. Step 3: Cross multiply
    71,012x = 110,412 × 110,412
  4. Step 4: Simplify right side
    71,012x = 12,190,809,744
  5. Step 5: Solve for x
    x = 12,190,809,744/71,012
  6. Step 6: Final answer
    x = 171,672.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.