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Finding the Third Proportional to 485,367 and 734,842.50

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Solution

The third proportional to 485,367 and 734,842.50 is: 1,112,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,367 : 734,842.50 = 734,842.50 : x
  2. Step 2: Convert to fraction form
    485,367/734,842.50 = 734,842.50/x
  3. Step 3: Cross multiply
    485,367x = 734,842.50 × 734,842.50
  4. Step 4: Simplify right side
    485,367x = 539,993,499,806.25
  5. Step 5: Solve for x
    x = 539,993,499,806.25/485,367
  6. Step 6: Final answer
    x = 1,112,546.79

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