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Finding the Third Proportional to 155,472 and 220,177

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Solution

The third proportional to 155,472 and 220,177 is: 311,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,472 : 220,177 = 220,177 : x
  2. Step 2: Convert to fraction form
    155,472/220,177 = 220,177/x
  3. Step 3: Cross multiply
    155,472x = 220,177 × 220,177
  4. Step 4: Simplify right side
    155,472x = 48,477,911,329
  5. Step 5: Solve for x
    x = 48,477,911,329/155,472
  6. Step 6: Final answer
    x = 311,811.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.