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Finding the Third Proportional to 64,642 and 140,918

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Solution

The third proportional to 64,642 and 140,918 is: 307,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,642 : 140,918 = 140,918 : x
  2. Step 2: Convert to fraction form
    64,642/140,918 = 140,918/x
  3. Step 3: Cross multiply
    64,642x = 140,918 × 140,918
  4. Step 4: Simplify right side
    64,642x = 19,857,882,724
  5. Step 5: Solve for x
    x = 19,857,882,724/64,642
  6. Step 6: Final answer
    x = 307,197.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.