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Finding the Third Proportional to 178,299.56 and 261,991.13

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Solution

The third proportional to 178,299.56 and 261,991.13 is: 384,966.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,299.56 : 261,991.13 = 261,991.13 : x
  2. Step 2: Convert to fraction form
    178,299.56/261,991.13 = 261,991.13/x
  3. Step 3: Cross multiply
    178,299.56x = 261,991.13 × 261,991.13
  4. Step 4: Simplify right side
    178,299.56x = 68,639,349,578.77
  5. Step 5: Solve for x
    x = 68,639,349,578.77/178,299.56
  6. Step 6: Final answer
    x = 384,966.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.