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Finding the Third Proportional to 135,790 and 298,328

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Solution

The third proportional to 135,790 and 298,328 is: 655,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,790 : 298,328 = 298,328 : x
  2. Step 2: Convert to fraction form
    135,790/298,328 = 298,328/x
  3. Step 3: Cross multiply
    135,790x = 298,328 × 298,328
  4. Step 4: Simplify right side
    135,790x = 88,999,595,584
  5. Step 5: Solve for x
    x = 88,999,595,584/135,790
  6. Step 6: Final answer
    x = 655,420.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.