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Finding the Third Proportional to 178,305 and 276,979

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Solution

The third proportional to 178,305 and 276,979 is: 430,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,305 : 276,979 = 276,979 : x
  2. Step 2: Convert to fraction form
    178,305/276,979 = 276,979/x
  3. Step 3: Cross multiply
    178,305x = 276,979 × 276,979
  4. Step 4: Simplify right side
    178,305x = 76,717,366,441
  5. Step 5: Solve for x
    x = 76,717,366,441/178,305
  6. Step 6: Final answer
    x = 430,259.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.