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Finding the Third Proportional to 64,288 and 139,268

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Solution

The third proportional to 64,288 and 139,268 is: 301,698.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,288 : 139,268 = 139,268 : x
  2. Step 2: Convert to fraction form
    64,288/139,268 = 139,268/x
  3. Step 3: Cross multiply
    64,288x = 139,268 × 139,268
  4. Step 4: Simplify right side
    64,288x = 19,395,575,824
  5. Step 5: Solve for x
    x = 19,395,575,824/64,288
  6. Step 6: Final answer
    x = 301,698.23

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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.