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Finding the Third Proportional to 118,143 and 262,287

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Solution

The third proportional to 118,143 and 262,287 is: 582,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,143 : 262,287 = 262,287 : x
  2. Step 2: Convert to fraction form
    118,143/262,287 = 262,287/x
  3. Step 3: Cross multiply
    118,143x = 262,287 × 262,287
  4. Step 4: Simplify right side
    118,143x = 68,794,470,369
  5. Step 5: Solve for x
    x = 68,794,470,369/118,143
  6. Step 6: Final answer
    x = 582,298.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.