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Finding the Third Proportional to 149,625 and 319,986

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Solution

The third proportional to 149,625 and 319,986 is: 684,317.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,625 : 319,986 = 319,986 : x
  2. Step 2: Convert to fraction form
    149,625/319,986 = 319,986/x
  3. Step 3: Cross multiply
    149,625x = 319,986 × 319,986
  4. Step 4: Simplify right side
    149,625x = 102,391,040,196
  5. Step 5: Solve for x
    x = 102,391,040,196/149,625
  6. Step 6: Final answer
    x = 684,317.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.