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Finding the Third Proportional to 133,618 and 205,467

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Solution

The third proportional to 133,618 and 205,467 is: 315,950.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,618 : 205,467 = 205,467 : x
  2. Step 2: Convert to fraction form
    133,618/205,467 = 205,467/x
  3. Step 3: Cross multiply
    133,618x = 205,467 × 205,467
  4. Step 4: Simplify right side
    133,618x = 42,216,688,089
  5. Step 5: Solve for x
    x = 42,216,688,089/133,618
  6. Step 6: Final answer
    x = 315,950.61

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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.