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Finding the Third Proportional to 118,830 and 247,458

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Solution

The third proportional to 118,830 and 247,458 is: 515,319.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,830 : 247,458 = 247,458 : x
  2. Step 2: Convert to fraction form
    118,830/247,458 = 247,458/x
  3. Step 3: Cross multiply
    118,830x = 247,458 × 247,458
  4. Step 4: Simplify right side
    118,830x = 61,235,461,764
  5. Step 5: Solve for x
    x = 61,235,461,764/118,830
  6. Step 6: Final answer
    x = 515,319.88

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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.