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Finding the Third Proportional to 64,257 and 139,242

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Solution

The third proportional to 64,257 and 139,242 is: 301,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,257 : 139,242 = 139,242 : x
  2. Step 2: Convert to fraction form
    64,257/139,242 = 139,242/x
  3. Step 3: Cross multiply
    64,257x = 139,242 × 139,242
  4. Step 4: Simplify right side
    64,257x = 19,388,334,564
  5. Step 5: Solve for x
    x = 19,388,334,564/64,257
  6. Step 6: Final answer
    x = 301,731.09

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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.