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Finding the Third Proportional to 290,943.56 and 451,544.63

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Solution

The third proportional to 290,943.56 and 451,544.63 is: 700,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,943.56 : 451,544.63 = 451,544.63 : x
  2. Step 2: Convert to fraction form
    290,943.56/451,544.63 = 451,544.63/x
  3. Step 3: Cross multiply
    290,943.56x = 451,544.63 × 451,544.63
  4. Step 4: Simplify right side
    290,943.56x = 203,892,548,366.39
  5. Step 5: Solve for x
    x = 203,892,548,366.39/290,943.56
  6. Step 6: Final answer
    x = 700,797.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.