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Finding the Third Proportional to 64,739.25 and 138,471.19

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Solution

The third proportional to 64,739.25 and 138,471.19 is: 296,176.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,739.25 : 138,471.19 = 138,471.19 : x
  2. Step 2: Convert to fraction form
    64,739.25/138,471.19 = 138,471.19/x
  3. Step 3: Cross multiply
    64,739.25x = 138,471.19 × 138,471.19
  4. Step 4: Simplify right side
    64,739.25x = 19,174,269,767.66
  5. Step 5: Solve for x
    x = 19,174,269,767.66/64,739.25
  6. Step 6: Final answer
    x = 296,176.89

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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.