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Finding the Third Proportional to 138,407.48 and 301,828.78

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Solution

The third proportional to 138,407.48 and 301,828.78 is: 658,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,407.48 : 301,828.78 = 301,828.78 : x
  2. Step 2: Convert to fraction form
    138,407.48/301,828.78 = 301,828.78/x
  3. Step 3: Cross multiply
    138,407.48x = 301,828.78 × 301,828.78
  4. Step 4: Simplify right side
    138,407.48x = 91,100,613,190.86
  5. Step 5: Solve for x
    x = 91,100,613,190.86/138,407.48
  6. Step 6: Final answer
    x = 658,205.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.