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Finding the Third Proportional to 84,103.50 and 140,165.25

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Solution

The third proportional to 84,103.50 and 140,165.25 is: 233,596.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,103.50 : 140,165.25 = 140,165.25 : x
  2. Step 2: Convert to fraction form
    84,103.50/140,165.25 = 140,165.25/x
  3. Step 3: Cross multiply
    84,103.50x = 140,165.25 × 140,165.25
  4. Step 4: Simplify right side
    84,103.50x = 19,646,297,307.56
  5. Step 5: Solve for x
    x = 19,646,297,307.56/84,103.50
  6. Step 6: Final answer
    x = 233,596.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.