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Finding the Third Proportional to 315,089.50 and 484,314.75

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Solution

The third proportional to 315,089.50 and 484,314.75 is: 744,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,089.50 : 484,314.75 = 484,314.75 : x
  2. Step 2: Convert to fraction form
    315,089.50/484,314.75 = 484,314.75/x
  3. Step 3: Cross multiply
    315,089.50x = 484,314.75 × 484,314.75
  4. Step 4: Simplify right side
    315,089.50x = 234,560,777,067.56
  5. Step 5: Solve for x
    x = 234,560,777,067.56/315,089.50
  6. Step 6: Final answer
    x = 744,425.88

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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.