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Finding the Third Proportional to 64,668 and 142,296

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Solution

The third proportional to 64,668 and 142,296 is: 313,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,668 : 142,296 = 142,296 : x
  2. Step 2: Convert to fraction form
    64,668/142,296 = 142,296/x
  3. Step 3: Cross multiply
    64,668x = 142,296 × 142,296
  4. Step 4: Simplify right side
    64,668x = 20,248,151,616
  5. Step 5: Solve for x
    x = 20,248,151,616/64,668
  6. Step 6: Final answer
    x = 313,109.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.