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Finding the Third Proportional to 248,520.25 and 388,772.75

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Solution

The third proportional to 248,520.25 and 388,772.75 is: 608,176.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,520.25 : 388,772.75 = 388,772.75 : x
  2. Step 2: Convert to fraction form
    248,520.25/388,772.75 = 388,772.75/x
  3. Step 3: Cross multiply
    248,520.25x = 388,772.75 × 388,772.75
  4. Step 4: Simplify right side
    248,520.25x = 151,144,251,142.56
  5. Step 5: Solve for x
    x = 151,144,251,142.56/248,520.25
  6. Step 6: Final answer
    x = 608,176.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.