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Finding the Third Proportional to 64,287 and 139,266

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Solution

The third proportional to 64,287 and 139,266 is: 301,694.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,287 : 139,266 = 139,266 : x
  2. Step 2: Convert to fraction form
    64,287/139,266 = 139,266/x
  3. Step 3: Cross multiply
    64,287x = 139,266 × 139,266
  4. Step 4: Simplify right side
    64,287x = 19,395,018,756
  5. Step 5: Solve for x
    x = 19,395,018,756/64,287
  6. Step 6: Final answer
    x = 301,694.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.