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Finding the Third Proportional to 301,118 and 440,367

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Solution

The third proportional to 301,118 and 440,367 is: 644,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,118 : 440,367 = 440,367 : x
  2. Step 2: Convert to fraction form
    301,118/440,367 = 440,367/x
  3. Step 3: Cross multiply
    301,118x = 440,367 × 440,367
  4. Step 4: Simplify right side
    301,118x = 193,923,094,689
  5. Step 5: Solve for x
    x = 193,923,094,689/301,118
  6. Step 6: Final answer
    x = 644,010.30

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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.