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Finding the Third Proportional to 118,259 and 262,761

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Solution

The third proportional to 118,259 and 262,761 is: 583,831.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,259 : 262,761 = 262,761 : x
  2. Step 2: Convert to fraction form
    118,259/262,761 = 262,761/x
  3. Step 3: Cross multiply
    118,259x = 262,761 × 262,761
  4. Step 4: Simplify right side
    118,259x = 69,043,343,121
  5. Step 5: Solve for x
    x = 69,043,343,121/118,259
  6. Step 6: Final answer
    x = 583,831.62

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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.