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Finding the Third Proportional to 178,456 and 260,979

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Solution

The third proportional to 178,456 and 260,979 is: 381,662.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,456 : 260,979 = 260,979 : x
  2. Step 2: Convert to fraction form
    178,456/260,979 = 260,979/x
  3. Step 3: Cross multiply
    178,456x = 260,979 × 260,979
  4. Step 4: Simplify right side
    178,456x = 68,110,038,441
  5. Step 5: Solve for x
    x = 68,110,038,441/178,456
  6. Step 6: Final answer
    x = 381,662.92

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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.