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Finding the Third Proportional to 118,989 and 247,842

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Solution

The third proportional to 118,989 and 247,842 is: 516,229.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,989 : 247,842 = 247,842 : x
  2. Step 2: Convert to fraction form
    118,989/247,842 = 247,842/x
  3. Step 3: Cross multiply
    118,989x = 247,842 × 247,842
  4. Step 4: Simplify right side
    118,989x = 61,425,656,964
  5. Step 5: Solve for x
    x = 61,425,656,964/118,989
  6. Step 6: Final answer
    x = 516,229.71

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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.