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Finding the Third Proportional to 138,647.81 and 298,311.38

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Solution

The third proportional to 138,647.81 and 298,311.38 is: 641,839.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,647.81 : 298,311.38 = 298,311.38 : x
  2. Step 2: Convert to fraction form
    138,647.81/298,311.38 = 298,311.38/x
  3. Step 3: Cross multiply
    138,647.81x = 298,311.38 × 298,311.38
  4. Step 4: Simplify right side
    138,647.81x = 88,989,676,454.39
  5. Step 5: Solve for x
    x = 88,989,676,454.39/138,647.81
  6. Step 6: Final answer
    x = 641,839.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.