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Finding the Third Proportional to 178,439 and 260,956

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Solution

The third proportional to 178,439 and 260,956 is: 381,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,439 : 260,956 = 260,956 : x
  2. Step 2: Convert to fraction form
    178,439/260,956 = 260,956/x
  3. Step 3: Cross multiply
    178,439x = 260,956 × 260,956
  4. Step 4: Simplify right side
    178,439x = 68,098,033,936
  5. Step 5: Solve for x
    x = 68,098,033,936/178,439
  6. Step 6: Final answer
    x = 381,632.01

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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.