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Finding the Third Proportional to 64,104 and 140,592

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Solution

The third proportional to 64,104 and 140,592 is: 308,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,104 : 140,592 = 140,592 : x
  2. Step 2: Convert to fraction form
    64,104/140,592 = 140,592/x
  3. Step 3: Cross multiply
    64,104x = 140,592 × 140,592
  4. Step 4: Simplify right side
    64,104x = 19,766,110,464
  5. Step 5: Solve for x
    x = 19,766,110,464/64,104
  6. Step 6: Final answer
    x = 308,344.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.