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Finding the Third Proportional to 64,642 and 142,244

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Solution

The third proportional to 64,642 and 142,244 is: 313,006.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642 : 142,244 = 142,244 : x
  2. Step 2: Convert to fraction form
    64,642/142,244 = 142,244/x
  3. Step 3: Cross multiply
    64,642x = 142,244 × 142,244
  4. Step 4: Simplify right side
    64,642x = 20,233,355,536
  5. Step 5: Solve for x
    x = 20,233,355,536/64,642
  6. Step 6: Final answer
    x = 313,006.34

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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.