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Finding the Third Proportional to 133,566 and 205,389

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Solution

The third proportional to 133,566 and 205,389 is: 315,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,566 : 205,389 = 205,389 : x
  2. Step 2: Convert to fraction form
    133,566/205,389 = 205,389/x
  3. Step 3: Cross multiply
    133,566x = 205,389 × 205,389
  4. Step 4: Simplify right side
    133,566x = 42,184,641,321
  5. Step 5: Solve for x
    x = 42,184,641,321/133,566
  6. Step 6: Final answer
    x = 315,833.68

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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.