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Finding the Third Proportional to 378,434 and 526,179

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Solution

The third proportional to 378,434 and 526,179 is: 731,605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,434 : 526,179 = 526,179 : x
  2. Step 2: Convert to fraction form
    378,434/526,179 = 526,179/x
  3. Step 3: Cross multiply
    378,434x = 526,179 × 526,179
  4. Step 4: Simplify right side
    378,434x = 276,864,340,041
  5. Step 5: Solve for x
    x = 276,864,340,041/378,434
  6. Step 6: Final answer
    x = 731,605.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.