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Finding the Third Proportional to 65,994.75 and 140,170.50

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Solution

The third proportional to 65,994.75 and 140,170.50 is: 297,717.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,994.75 : 140,170.50 = 140,170.50 : x
  2. Step 2: Convert to fraction form
    65,994.75/140,170.50 = 140,170.50/x
  3. Step 3: Cross multiply
    65,994.75x = 140,170.50 × 140,170.50
  4. Step 4: Simplify right side
    65,994.75x = 19,647,769,070.25
  5. Step 5: Solve for x
    x = 19,647,769,070.25/65,994.75
  6. Step 6: Final answer
    x = 297,717.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.