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Finding the Third Proportional to 178,550 and 276,345

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Solution

The third proportional to 178,550 and 276,345 is: 427,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,550 : 276,345 = 276,345 : x
  2. Step 2: Convert to fraction form
    178,550/276,345 = 276,345/x
  3. Step 3: Cross multiply
    178,550x = 276,345 × 276,345
  4. Step 4: Simplify right side
    178,550x = 76,366,559,025
  5. Step 5: Solve for x
    x = 76,366,559,025/178,550
  6. Step 6: Final answer
    x = 427,704.06

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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.