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Finding the Third Proportional to 133,786 and 206,559

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Solution

The third proportional to 133,786 and 206,559 is: 318,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,786 : 206,559 = 206,559 : x
  2. Step 2: Convert to fraction form
    133,786/206,559 = 206,559/x
  3. Step 3: Cross multiply
    133,786x = 206,559 × 206,559
  4. Step 4: Simplify right side
    133,786x = 42,666,620,481
  5. Step 5: Solve for x
    x = 42,666,620,481/133,786
  6. Step 6: Final answer
    x = 318,916.93

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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.