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Finding the Third Proportional to 178,453.13 and 382,861.69

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Solution

The third proportional to 178,453.13 and 382,861.69 is: 821,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,453.13 : 382,861.69 = 382,861.69 : x
  2. Step 2: Convert to fraction form
    178,453.13/382,861.69 = 382,861.69/x
  3. Step 3: Cross multiply
    178,453.13x = 382,861.69 × 382,861.69
  4. Step 4: Simplify right side
    178,453.13x = 146,583,071,755.35
  5. Step 5: Solve for x
    x = 146,583,071,755.35/178,453.13
  6. Step 6: Final answer
    x = 821,409.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.