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Finding the Third Proportional to 136,036 and 298,328

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Solution

The third proportional to 136,036 and 298,328 is: 654,235.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,036 : 298,328 = 298,328 : x
  2. Step 2: Convert to fraction form
    136,036/298,328 = 298,328/x
  3. Step 3: Cross multiply
    136,036x = 298,328 × 298,328
  4. Step 4: Simplify right side
    136,036x = 88,999,595,584
  5. Step 5: Solve for x
    x = 88,999,595,584/136,036
  6. Step 6: Final answer
    x = 654,235.61

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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.