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Finding the Third Proportional to 134,728 and 206,184

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Solution

The third proportional to 134,728 and 206,184 is: 315,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,728 : 206,184 = 206,184 : x
  2. Step 2: Convert to fraction form
    134,728/206,184 = 206,184/x
  3. Step 3: Cross multiply
    134,728x = 206,184 × 206,184
  4. Step 4: Simplify right side
    134,728x = 42,511,841,856
  5. Step 5: Solve for x
    x = 42,511,841,856/134,728
  6. Step 6: Final answer
    x = 315,538.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.