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Finding the Third Proportional to 215,426 and 301,879

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Solution

The third proportional to 215,426 and 301,879 is: 423,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,426 : 301,879 = 301,879 : x
  2. Step 2: Convert to fraction form
    215,426/301,879 = 301,879/x
  3. Step 3: Cross multiply
    215,426x = 301,879 × 301,879
  4. Step 4: Simplify right side
    215,426x = 91,130,930,641
  5. Step 5: Solve for x
    x = 91,130,930,641/215,426
  6. Step 6: Final answer
    x = 423,026.61

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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.