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Finding the Third Proportional to 118,434 and 253,748

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Solution

The third proportional to 118,434 and 253,748 is: 543,661.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,434 : 253,748 = 253,748 : x
  2. Step 2: Convert to fraction form
    118,434/253,748 = 253,748/x
  3. Step 3: Cross multiply
    118,434x = 253,748 × 253,748
  4. Step 4: Simplify right side
    118,434x = 64,388,047,504
  5. Step 5: Solve for x
    x = 64,388,047,504/118,434
  6. Step 6: Final answer
    x = 543,661.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.