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Finding the Third Proportional to 160,500 and 338,905

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Solution

The third proportional to 160,500 and 338,905 is: 715,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,500 : 338,905 = 338,905 : x
  2. Step 2: Convert to fraction form
    160,500/338,905 = 338,905/x
  3. Step 3: Cross multiply
    160,500x = 338,905 × 338,905
  4. Step 4: Simplify right side
    160,500x = 114,856,599,025
  5. Step 5: Solve for x
    x = 114,856,599,025/160,500
  6. Step 6: Final answer
    x = 715,617.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.