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Finding the Third Proportional to 248,757 and 394,528

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Solution

The third proportional to 248,757 and 394,528 is: 625,720.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,757 : 394,528 = 394,528 : x
  2. Step 2: Convert to fraction form
    248,757/394,528 = 394,528/x
  3. Step 3: Cross multiply
    248,757x = 394,528 × 394,528
  4. Step 4: Simplify right side
    248,757x = 155,652,342,784
  5. Step 5: Solve for x
    x = 155,652,342,784/248,757
  6. Step 6: Final answer
    x = 625,720.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.