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Finding the Third Proportional to 71,219 and 155,671

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Solution

The third proportional to 71,219 and 155,671 is: 340,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,219 : 155,671 = 155,671 : x
  2. Step 2: Convert to fraction form
    71,219/155,671 = 155,671/x
  3. Step 3: Cross multiply
    71,219x = 155,671 × 155,671
  4. Step 4: Simplify right side
    71,219x = 24,233,460,241
  5. Step 5: Solve for x
    x = 24,233,460,241/71,219
  6. Step 6: Final answer
    x = 340,266.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.