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Finding the Third Proportional to 301,149 and 440,392

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Solution

The third proportional to 301,149 and 440,392 is: 644,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,149 : 440,392 = 440,392 : x
  2. Step 2: Convert to fraction form
    301,149/440,392 = 440,392/x
  3. Step 3: Cross multiply
    301,149x = 440,392 × 440,392
  4. Step 4: Simplify right side
    301,149x = 193,945,113,664
  5. Step 5: Solve for x
    x = 193,945,113,664/301,149
  6. Step 6: Final answer
    x = 644,017.13

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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.