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Finding the Third Proportional to 301,154 and 440,399

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Solution

The third proportional to 301,154 and 440,399 is: 644,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,154 : 440,399 = 440,399 : x
  2. Step 2: Convert to fraction form
    301,154/440,399 = 440,399/x
  3. Step 3: Cross multiply
    301,154x = 440,399 × 440,399
  4. Step 4: Simplify right side
    301,154x = 193,951,279,201
  5. Step 5: Solve for x
    x = 193,951,279,201/301,154
  6. Step 6: Final answer
    x = 644,026.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.