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Finding the Third Proportional to 178,767 and 393,072.75

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Solution

The third proportional to 178,767 and 393,072.75 is: 864,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,767 : 393,072.75 = 393,072.75 : x
  2. Step 2: Convert to fraction form
    178,767/393,072.75 = 393,072.75/x
  3. Step 3: Cross multiply
    178,767x = 393,072.75 × 393,072.75
  4. Step 4: Simplify right side
    178,767x = 154,506,186,792.56
  5. Step 5: Solve for x
    x = 154,506,186,792.56/178,767
  6. Step 6: Final answer
    x = 864,288.08

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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.