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Finding the Third Proportional to 178,134 and 385,356

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Solution

The third proportional to 178,134 and 385,356 is: 833,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,134 : 385,356 = 385,356 : x
  2. Step 2: Convert to fraction form
    178,134/385,356 = 385,356/x
  3. Step 3: Cross multiply
    178,134x = 385,356 × 385,356
  4. Step 4: Simplify right side
    178,134x = 148,499,246,736
  5. Step 5: Solve for x
    x = 148,499,246,736/178,134
  6. Step 6: Final answer
    x = 833,637.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.