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Finding the Third Proportional to 178,144 and 386,688

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Solution

The third proportional to 178,144 and 386,688 is: 839,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,144 : 386,688 = 386,688 : x
  2. Step 2: Convert to fraction form
    178,144/386,688 = 386,688/x
  3. Step 3: Cross multiply
    178,144x = 386,688 × 386,688
  4. Step 4: Simplify right side
    178,144x = 149,527,609,344
  5. Step 5: Solve for x
    x = 149,527,609,344/178,144
  6. Step 6: Final answer
    x = 839,363.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.