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Finding the Third Proportional to 178,519 and 260,937

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Solution

The third proportional to 178,519 and 260,937 is: 381,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,519 : 260,937 = 260,937 : x
  2. Step 2: Convert to fraction form
    178,519/260,937 = 260,937/x
  3. Step 3: Cross multiply
    178,519x = 260,937 × 260,937
  4. Step 4: Simplify right side
    178,519x = 68,088,117,969
  5. Step 5: Solve for x
    x = 68,088,117,969/178,519
  6. Step 6: Final answer
    x = 381,405.44

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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.