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Finding the Third Proportional to 301,426.31 and 415,228.78

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Solution

The third proportional to 301,426.31 and 415,228.78 is: 571,996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,426.31 : 415,228.78 = 415,228.78 : x
  2. Step 2: Convert to fraction form
    301,426.31/415,228.78 = 415,228.78/x
  3. Step 3: Cross multiply
    301,426.31x = 415,228.78 × 415,228.78
  4. Step 4: Simplify right side
    301,426.31x = 172,414,940,778.36
  5. Step 5: Solve for x
    x = 172,414,940,778.36/301,426.31
  6. Step 6: Final answer
    x = 571,996.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.