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Finding the Third Proportional to 215,424 and 301,869

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Solution

The third proportional to 215,424 and 301,869 is: 423,002.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,424 : 301,869 = 301,869 : x
  2. Step 2: Convert to fraction form
    215,424/301,869 = 301,869/x
  3. Step 3: Cross multiply
    215,424x = 301,869 × 301,869
  4. Step 4: Simplify right side
    215,424x = 91,124,893,161
  5. Step 5: Solve for x
    x = 91,124,893,161/215,424
  6. Step 6: Final answer
    x = 423,002.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.