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Finding the Third Proportional to 178,409.25 and 260,916

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Solution

The third proportional to 178,409.25 and 260,916 is: 381,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,409.25 : 260,916 = 260,916 : x
  2. Step 2: Convert to fraction form
    178,409.25/260,916 = 260,916/x
  3. Step 3: Cross multiply
    178,409.25x = 260,916 × 260,916
  4. Step 4: Simplify right side
    178,409.25x = 68,077,159,056
  5. Step 5: Solve for x
    x = 68,077,159,056/178,409.25
  6. Step 6: Final answer
    x = 381,578.64

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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.