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Finding the Third Proportional to 437,311.50 and 674,643

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Solution

The third proportional to 437,311.50 and 674,643 is: 1,040,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,311.50 : 674,643 = 674,643 : x
  2. Step 2: Convert to fraction form
    437,311.50/674,643 = 674,643/x
  3. Step 3: Cross multiply
    437,311.50x = 674,643 × 674,643
  4. Step 4: Simplify right side
    437,311.50x = 455,143,177,449
  5. Step 5: Solve for x
    x = 455,143,177,449/437,311.50
  6. Step 6: Final answer
    x = 1,040,775.69

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Why These Related Problems?

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