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Finding the Third Proportional to 137,728 and 206,592

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Solution

The third proportional to 137,728 and 206,592 is: 309,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728 : 206,592 = 206,592 : x
  2. Step 2: Convert to fraction form
    137,728/206,592 = 206,592/x
  3. Step 3: Cross multiply
    137,728x = 206,592 × 206,592
  4. Step 4: Simplify right side
    137,728x = 42,680,254,464
  5. Step 5: Solve for x
    x = 42,680,254,464/137,728
  6. Step 6: Final answer
    x = 309,888

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.