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Finding the Third Proportional to 178,103 and 266,722

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Solution

The third proportional to 178,103 and 266,722 is: 399,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,103 : 266,722 = 266,722 : x
  2. Step 2: Convert to fraction form
    178,103/266,722 = 266,722/x
  3. Step 3: Cross multiply
    178,103x = 266,722 × 266,722
  4. Step 4: Simplify right side
    178,103x = 71,140,625,284
  5. Step 5: Solve for x
    x = 71,140,625,284/178,103
  6. Step 6: Final answer
    x = 399,435.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.