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Finding the Third Proportional to 208,134 and 431,036

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Solution

The third proportional to 208,134 and 431,036 is: 892,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134 : 431,036 = 431,036 : x
  2. Step 2: Convert to fraction form
    208,134/431,036 = 431,036/x
  3. Step 3: Cross multiply
    208,134x = 431,036 × 431,036
  4. Step 4: Simplify right side
    208,134x = 185,792,033,296
  5. Step 5: Solve for x
    x = 185,792,033,296/208,134
  6. Step 6: Final answer
    x = 892,655.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.