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Finding the Third Proportional to 367,422 and 520,045

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Solution

The third proportional to 367,422 and 520,045 is: 736,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,422 : 520,045 = 520,045 : x
  2. Step 2: Convert to fraction form
    367,422/520,045 = 520,045/x
  3. Step 3: Cross multiply
    367,422x = 520,045 × 520,045
  4. Step 4: Simplify right side
    367,422x = 270,446,802,025
  5. Step 5: Solve for x
    x = 270,446,802,025/367,422
  6. Step 6: Final answer
    x = 736,065.89

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.