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Finding the Third Proportional to 178,455.66 and 276,458.06

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Solution

The third proportional to 178,455.66 and 276,458.06 is: 428,280.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,455.66 : 276,458.06 = 276,458.06 : x
  2. Step 2: Convert to fraction form
    178,455.66/276,458.06 = 276,458.06/x
  3. Step 3: Cross multiply
    178,455.66x = 276,458.06 × 276,458.06
  4. Step 4: Simplify right side
    178,455.66x = 76,429,060,321.25
  5. Step 5: Solve for x
    x = 76,429,060,321.25/178,455.66
  6. Step 6: Final answer
    x = 428,280.40

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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.