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Finding the Third Proportional to 140,170.50 and 298,690.03

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Solution

The third proportional to 140,170.50 and 298,690.03 is: 636,480.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,170.50 : 298,690.03 = 298,690.03 : x
  2. Step 2: Convert to fraction form
    140,170.50/298,690.03 = 298,690.03/x
  3. Step 3: Cross multiply
    140,170.50x = 298,690.03 × 298,690.03
  4. Step 4: Simplify right side
    140,170.50x = 89,215,734,768.13
  5. Step 5: Solve for x
    x = 89,215,734,768.13/140,170.50
  6. Step 6: Final answer
    x = 636,480.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.