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Finding the Third Proportional to 299,745 and 451,597.50

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Solution

The third proportional to 299,745 and 451,597.50 is: 680,379.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,745 : 451,597.50 = 451,597.50 : x
  2. Step 2: Convert to fraction form
    299,745/451,597.50 = 451,597.50/x
  3. Step 3: Cross multiply
    299,745x = 451,597.50 × 451,597.50
  4. Step 4: Simplify right side
    299,745x = 203,940,302,006.25
  5. Step 5: Solve for x
    x = 203,940,302,006.25/299,745
  6. Step 6: Final answer
    x = 680,379.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.