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Finding the Third Proportional to 156,784 and 338,723

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Solution

The third proportional to 156,784 and 338,723 is: 731,791.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 338,723 = 338,723 : x
  2. Step 2: Convert to fraction form
    156,784/338,723 = 338,723/x
  3. Step 3: Cross multiply
    156,784x = 338,723 × 338,723
  4. Step 4: Simplify right side
    156,784x = 114,733,270,729
  5. Step 5: Solve for x
    x = 114,733,270,729/156,784
  6. Step 6: Final answer
    x = 731,791.96

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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.