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Finding the Third Proportional to 252,498 and 388,080

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Solution

The third proportional to 252,498 and 388,080 is: 596,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,498 : 388,080 = 388,080 : x
  2. Step 2: Convert to fraction form
    252,498/388,080 = 388,080/x
  3. Step 3: Cross multiply
    252,498x = 388,080 × 388,080
  4. Step 4: Simplify right side
    252,498x = 150,606,086,400
  5. Step 5: Solve for x
    x = 150,606,086,400/252,498
  6. Step 6: Final answer
    x = 596,464.47

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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.