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Finding the Third Proportional to 156,723 and 338,381

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Solution

The third proportional to 156,723 and 338,381 is: 730,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,723 : 338,381 = 338,381 : x
  2. Step 2: Convert to fraction form
    156,723/338,381 = 338,381/x
  3. Step 3: Cross multiply
    156,723x = 338,381 × 338,381
  4. Step 4: Simplify right side
    156,723x = 114,501,701,161
  5. Step 5: Solve for x
    x = 114,501,701,161/156,723
  6. Step 6: Final answer
    x = 730,599.22

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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.