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Finding the Third Proportional to 133,626 and 205,479

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Solution

The third proportional to 133,626 and 205,479 is: 315,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,626 : 205,479 = 205,479 : x
  2. Step 2: Convert to fraction form
    133,626/205,479 = 205,479/x
  3. Step 3: Cross multiply
    133,626x = 205,479 × 205,479
  4. Step 4: Simplify right side
    133,626x = 42,221,619,441
  5. Step 5: Solve for x
    x = 42,221,619,441/133,626
  6. Step 6: Final answer
    x = 315,968.59

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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.