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Finding the Third Proportional to 178,454 and 260,976

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Solution

The third proportional to 178,454 and 260,976 is: 381,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,454 : 260,976 = 260,976 : x
  2. Step 2: Convert to fraction form
    178,454/260,976 = 260,976/x
  3. Step 3: Cross multiply
    178,454x = 260,976 × 260,976
  4. Step 4: Simplify right side
    178,454x = 68,108,472,576
  5. Step 5: Solve for x
    x = 68,108,472,576/178,454
  6. Step 6: Final answer
    x = 381,658.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.