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Finding the Third Proportional to 118,610 and 283,511

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Solution

The third proportional to 118,610 and 283,511 is: 677,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,610 : 283,511 = 283,511 : x
  2. Step 2: Convert to fraction form
    118,610/283,511 = 283,511/x
  3. Step 3: Cross multiply
    118,610x = 283,511 × 283,511
  4. Step 4: Simplify right side
    118,610x = 80,378,487,121
  5. Step 5: Solve for x
    x = 80,378,487,121/118,610
  6. Step 6: Final answer
    x = 677,670.41

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.