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Finding the Third Proportional to 64,729.13 and 138,453.05

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Solution

The third proportional to 64,729.13 and 138,453.05 is: 296,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729.13 : 138,453.05 = 138,453.05 : x
  2. Step 2: Convert to fraction form
    64,729.13/138,453.05 = 138,453.05/x
  3. Step 3: Cross multiply
    64,729.13x = 138,453.05 × 138,453.05
  4. Step 4: Simplify right side
    64,729.13x = 19,169,246,188.97
  5. Step 5: Solve for x
    x = 19,169,246,188.97/64,729.13
  6. Step 6: Final answer
    x = 296,145.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.