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Finding the Third Proportional to 118,777 and 247,381

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Solution

The third proportional to 118,777 and 247,381 is: 515,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,777 : 247,381 = 247,381 : x
  2. Step 2: Convert to fraction form
    118,777/247,381 = 247,381/x
  3. Step 3: Cross multiply
    118,777x = 247,381 × 247,381
  4. Step 4: Simplify right side
    118,777x = 61,197,359,161
  5. Step 5: Solve for x
    x = 61,197,359,161/118,777
  6. Step 6: Final answer
    x = 515,229.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.