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Finding the Third Proportional to 64,592 and 144,296

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Solution

The third proportional to 64,592 and 144,296 is: 322,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,592 : 144,296 = 144,296 : x
  2. Step 2: Convert to fraction form
    64,592/144,296 = 144,296/x
  3. Step 3: Cross multiply
    64,592x = 144,296 × 144,296
  4. Step 4: Simplify right side
    64,592x = 20,821,335,616
  5. Step 5: Solve for x
    x = 20,821,335,616/64,592
  6. Step 6: Final answer
    x = 322,351.62

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.