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Finding the Third Proportional to 734,734.50 and 1,134,839.25

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Solution

The third proportional to 734,734.50 and 1,134,839.25 is: 1,752,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,734.50 : 1,134,839.25 = 1,134,839.25 : x
  2. Step 2: Convert to fraction form
    734,734.50/1,134,839.25 = 1,134,839.25/x
  3. Step 3: Cross multiply
    734,734.50x = 1,134,839.25 × 1,134,839.25
  4. Step 4: Simplify right side
    734,734.50x = 1,287,860,123,340.56
  5. Step 5: Solve for x
    x = 1,287,860,123,340.56/734,734.50
  6. Step 6: Final answer
    x = 1,752,823.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.