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Finding the Third Proportional to 118,909 and 247,639

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Solution

The third proportional to 118,909 and 247,639 is: 515,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,909 : 247,639 = 247,639 : x
  2. Step 2: Convert to fraction form
    118,909/247,639 = 247,639/x
  3. Step 3: Cross multiply
    118,909x = 247,639 × 247,639
  4. Step 4: Simplify right side
    118,909x = 61,325,074,321
  5. Step 5: Solve for x
    x = 61,325,074,321/118,909
  6. Step 6: Final answer
    x = 515,731.14

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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.