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Finding the Third Proportional to 133,555 and 288,177

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Solution

The third proportional to 133,555 and 288,177 is: 621,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,555 : 288,177 = 288,177 : x
  2. Step 2: Convert to fraction form
    133,555/288,177 = 288,177/x
  3. Step 3: Cross multiply
    133,555x = 288,177 × 288,177
  4. Step 4: Simplify right side
    133,555x = 83,045,983,329
  5. Step 5: Solve for x
    x = 83,045,983,329/133,555
  6. Step 6: Final answer
    x = 621,811.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.