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Finding the Third Proportional to 221,581.41 and 343,753.45

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Solution

The third proportional to 221,581.41 and 343,753.45 is: 533,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,581.41 : 343,753.45 = 343,753.45 : x
  2. Step 2: Convert to fraction form
    221,581.41/343,753.45 = 343,753.45/x
  3. Step 3: Cross multiply
    221,581.41x = 343,753.45 × 343,753.45
  4. Step 4: Simplify right side
    221,581.41x = 118,166,436,535.36
  5. Step 5: Solve for x
    x = 118,166,436,535.36/221,581.41
  6. Step 6: Final answer
    x = 533,286.79

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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.