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Finding the Third Proportional to 133,521 and 206,169

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Solution

The third proportional to 133,521 and 206,169 is: 318,344.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,521 : 206,169 = 206,169 : x
  2. Step 2: Convert to fraction form
    133,521/206,169 = 206,169/x
  3. Step 3: Cross multiply
    133,521x = 206,169 × 206,169
  4. Step 4: Simplify right side
    133,521x = 42,505,656,561
  5. Step 5: Solve for x
    x = 42,505,656,561/133,521
  6. Step 6: Final answer
    x = 318,344.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.