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Finding the Third Proportional to 248,509.75 and 388,757

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Solution

The third proportional to 248,509.75 and 388,757 is: 608,153.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,509.75 : 388,757 = 388,757 : x
  2. Step 2: Convert to fraction form
    248,509.75/388,757 = 388,757/x
  3. Step 3: Cross multiply
    248,509.75x = 388,757 × 388,757
  4. Step 4: Simplify right side
    248,509.75x = 151,132,005,049
  5. Step 5: Solve for x
    x = 151,132,005,049/248,509.75
  6. Step 6: Final answer
    x = 608,153.22

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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.