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Finding the Third Proportional to 178,432 and 260,947

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Solution

The third proportional to 178,432 and 260,947 is: 381,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,432 : 260,947 = 260,947 : x
  2. Step 2: Convert to fraction form
    178,432/260,947 = 260,947/x
  3. Step 3: Cross multiply
    178,432x = 260,947 × 260,947
  4. Step 4: Simplify right side
    178,432x = 68,093,336,809
  5. Step 5: Solve for x
    x = 68,093,336,809/178,432
  6. Step 6: Final answer
    x = 381,620.66

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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.