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Finding the Third Proportional to 342,796.50 and 744,561

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Solution

The third proportional to 342,796.50 and 744,561 is: 1,617,201.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,796.50 : 744,561 = 744,561 : x
  2. Step 2: Convert to fraction form
    342,796.50/744,561 = 744,561/x
  3. Step 3: Cross multiply
    342,796.50x = 744,561 × 744,561
  4. Step 4: Simplify right side
    342,796.50x = 554,371,082,721
  5. Step 5: Solve for x
    x = 554,371,082,721/342,796.50
  6. Step 6: Final answer
    x = 1,617,201.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.