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Finding the Third Proportional to 64,401.75 and 140,247

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Solution

The third proportional to 64,401.75 and 140,247 is: 305,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,401.75 : 140,247 = 140,247 : x
  2. Step 2: Convert to fraction form
    64,401.75/140,247 = 140,247/x
  3. Step 3: Cross multiply
    64,401.75x = 140,247 × 140,247
  4. Step 4: Simplify right side
    64,401.75x = 19,669,221,009
  5. Step 5: Solve for x
    x = 19,669,221,009/64,401.75
  6. Step 6: Final answer
    x = 305,414.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.