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Finding the Third Proportional to 287,610.75 and 451,200.38

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Solution

The third proportional to 287,610.75 and 451,200.38 is: 707,837.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,610.75 : 451,200.38 = 451,200.38 : x
  2. Step 2: Convert to fraction form
    287,610.75/451,200.38 = 451,200.38/x
  3. Step 3: Cross multiply
    287,610.75x = 451,200.38 × 451,200.38
  4. Step 4: Simplify right side
    287,610.75x = 203,581,778,400.14
  5. Step 5: Solve for x
    x = 203,581,778,400.14/287,610.75
  6. Step 6: Final answer
    x = 707,837.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.