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Finding the Third Proportional to 251,065 and 351,166.50

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Solution

The third proportional to 251,065 and 351,166.50 is: 491,179.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,065 : 351,166.50 = 351,166.50 : x
  2. Step 2: Convert to fraction form
    251,065/351,166.50 = 351,166.50/x
  3. Step 3: Cross multiply
    251,065x = 351,166.50 × 351,166.50
  4. Step 4: Simplify right side
    251,065x = 123,317,910,722.25
  5. Step 5: Solve for x
    x = 123,317,910,722.25/251,065
  6. Step 6: Final answer
    x = 491,179.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.