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Finding the Third Proportional to 268,730.25 and 388,469.25

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Solution

The third proportional to 268,730.25 and 388,469.25 is: 561,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,730.25 : 388,469.25 = 388,469.25 : x
  2. Step 2: Convert to fraction form
    268,730.25/388,469.25 = 388,469.25/x
  3. Step 3: Cross multiply
    268,730.25x = 388,469.25 × 388,469.25
  4. Step 4: Simplify right side
    268,730.25x = 150,908,358,195.56
  5. Step 5: Solve for x
    x = 150,908,358,195.56/268,730.25
  6. Step 6: Final answer
    x = 561,560.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.