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Finding the Third Proportional to 174,758 and 378,080

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Solution

The third proportional to 174,758 and 378,080 is: 817,956.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,758 : 378,080 = 378,080 : x
  2. Step 2: Convert to fraction form
    174,758/378,080 = 378,080/x
  3. Step 3: Cross multiply
    174,758x = 378,080 × 378,080
  4. Step 4: Simplify right side
    174,758x = 142,944,486,400
  5. Step 5: Solve for x
    x = 142,944,486,400/174,758
  6. Step 6: Final answer
    x = 817,956.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.