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Finding the Third Proportional to 118,816 and 247,425

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Solution

The third proportional to 118,816 and 247,425 is: 515,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,816 : 247,425 = 247,425 : x
  2. Step 2: Convert to fraction form
    118,816/247,425 = 247,425/x
  3. Step 3: Cross multiply
    118,816x = 247,425 × 247,425
  4. Step 4: Simplify right side
    118,816x = 61,219,130,625
  5. Step 5: Solve for x
    x = 61,219,130,625/118,816
  6. Step 6: Final answer
    x = 515,243.15

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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.