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Finding the Third Proportional to 118,911 and 247,659

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Solution

The third proportional to 118,911 and 247,659 is: 515,805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,911 : 247,659 = 247,659 : x
  2. Step 2: Convert to fraction form
    118,911/247,659 = 247,659/x
  3. Step 3: Cross multiply
    118,911x = 247,659 × 247,659
  4. Step 4: Simplify right side
    118,911x = 61,334,980,281
  5. Step 5: Solve for x
    x = 61,334,980,281/118,911
  6. Step 6: Final answer
    x = 515,805.77

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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.