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Finding the Third Proportional to 136,416 and 298,112

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Solution

The third proportional to 136,416 and 298,112 is: 651,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,416 : 298,112 = 298,112 : x
  2. Step 2: Convert to fraction form
    136,416/298,112 = 298,112/x
  3. Step 3: Cross multiply
    136,416x = 298,112 × 298,112
  4. Step 4: Simplify right side
    136,416x = 88,870,764,544
  5. Step 5: Solve for x
    x = 88,870,764,544/136,416
  6. Step 6: Final answer
    x = 651,468.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.