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Finding the Third Proportional to 81,937.51 and 178,769.21

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Solution

The third proportional to 81,937.51 and 178,769.21 is: 390,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,937.51 : 178,769.21 = 178,769.21 : x
  2. Step 2: Convert to fraction form
    81,937.51/178,769.21 = 178,769.21/x
  3. Step 3: Cross multiply
    81,937.51x = 178,769.21 × 178,769.21
  4. Step 4: Simplify right side
    81,937.51x = 31,958,432,175.85
  5. Step 5: Solve for x
    x = 31,958,432,175.85/81,937.51
  6. Step 6: Final answer
    x = 390,034.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.