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Finding the Third Proportional to 64,536.75 and 138,960.56

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Solution

The third proportional to 64,536.75 and 138,960.56 is: 299,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,536.75 : 138,960.56 = 138,960.56 : x
  2. Step 2: Convert to fraction form
    64,536.75/138,960.56 = 138,960.56/x
  3. Step 3: Cross multiply
    64,536.75x = 138,960.56 × 138,960.56
  4. Step 4: Simplify right side
    64,536.75x = 19,310,037,930.32
  5. Step 5: Solve for x
    x = 19,310,037,930.32/64,536.75
  6. Step 6: Final answer
    x = 299,209.95

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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.