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Finding the Third Proportional to 118,262 and 255,478

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Solution

The third proportional to 118,262 and 255,478 is: 551,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,262 : 255,478 = 255,478 : x
  2. Step 2: Convert to fraction form
    118,262/255,478 = 255,478/x
  3. Step 3: Cross multiply
    118,262x = 255,478 × 255,478
  4. Step 4: Simplify right side
    118,262x = 65,269,008,484
  5. Step 5: Solve for x
    x = 65,269,008,484/118,262
  6. Step 6: Final answer
    x = 551,901.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.