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Finding the Third Proportional to 178,454 and 261,723

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Solution

The third proportional to 178,454 and 261,723 is: 383,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,454 : 261,723 = 261,723 : x
  2. Step 2: Convert to fraction form
    178,454/261,723 = 261,723/x
  3. Step 3: Cross multiply
    178,454x = 261,723 × 261,723
  4. Step 4: Simplify right side
    178,454x = 68,498,928,729
  5. Step 5: Solve for x
    x = 68,498,928,729/178,454
  6. Step 6: Final answer
    x = 383,846.42

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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.