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Finding the Third Proportional to 138,647.95 and 298,311.61

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Solution

The third proportional to 138,647.95 and 298,311.61 is: 641,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,647.95 : 298,311.61 = 298,311.61 : x
  2. Step 2: Convert to fraction form
    138,647.95/298,311.61 = 298,311.61/x
  3. Step 3: Cross multiply
    138,647.95x = 298,311.61 × 298,311.61
  4. Step 4: Simplify right side
    138,647.95x = 88,989,816,287.90
  5. Step 5: Solve for x
    x = 88,989,816,287.90/138,647.95
  6. Step 6: Final answer
    x = 641,840.10

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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.