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Finding the Third Proportional to 64,992 and 142,396

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Solution

The third proportional to 64,992 and 142,396 is: 311,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,992 : 142,396 = 142,396 : x
  2. Step 2: Convert to fraction form
    64,992/142,396 = 142,396/x
  3. Step 3: Cross multiply
    64,992x = 142,396 × 142,396
  4. Step 4: Simplify right side
    64,992x = 20,276,620,816
  5. Step 5: Solve for x
    x = 20,276,620,816/64,992
  6. Step 6: Final answer
    x = 311,986.41

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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.