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Finding the Third Proportional to 64,277 and 138,431.56

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Solution

The third proportional to 64,277 and 138,431.56 is: 298,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,277 : 138,431.56 = 138,431.56 : x
  2. Step 2: Convert to fraction form
    64,277/138,431.56 = 138,431.56/x
  3. Step 3: Cross multiply
    64,277x = 138,431.56 × 138,431.56
  4. Step 4: Simplify right side
    64,277x = 19,163,297,496.19
  5. Step 5: Solve for x
    x = 19,163,297,496.19/64,277
  6. Step 6: Final answer
    x = 298,136.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.