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Finding the Third Proportional to 118,828 and 247,454

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Solution

The third proportional to 118,828 and 247,454 is: 515,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,828 : 247,454 = 247,454 : x
  2. Step 2: Convert to fraction form
    118,828/247,454 = 247,454/x
  3. Step 3: Cross multiply
    118,828x = 247,454 × 247,454
  4. Step 4: Simplify right side
    118,828x = 61,233,482,116
  5. Step 5: Solve for x
    x = 61,233,482,116/118,828
  6. Step 6: Final answer
    x = 515,311.90

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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.