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Finding the Third Proportional to 118,910 and 247,657

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Solution

The third proportional to 118,910 and 247,657 is: 515,801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,910 : 247,657 = 247,657 : x
  2. Step 2: Convert to fraction form
    118,910/247,657 = 247,657/x
  3. Step 3: Cross multiply
    118,910x = 247,657 × 247,657
  4. Step 4: Simplify right side
    118,910x = 61,333,989,649
  5. Step 5: Solve for x
    x = 61,333,989,649/118,910
  6. Step 6: Final answer
    x = 515,801.78

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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.