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Finding the Third Proportional to 171,618 and 378,138

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Solution

The third proportional to 171,618 and 378,138 is: 833,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,618 : 378,138 = 378,138 : x
  2. Step 2: Convert to fraction form
    171,618/378,138 = 378,138/x
  3. Step 3: Cross multiply
    171,618x = 378,138 × 378,138
  4. Step 4: Simplify right side
    171,618x = 142,988,347,044
  5. Step 5: Solve for x
    x = 142,988,347,044/171,618
  6. Step 6: Final answer
    x = 833,178.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.