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Finding the Third Proportional to 178,576 and 269,689

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Solution

The third proportional to 178,576 and 269,689 is: 407,289.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,576 : 269,689 = 269,689 : x
  2. Step 2: Convert to fraction form
    178,576/269,689 = 269,689/x
  3. Step 3: Cross multiply
    178,576x = 269,689 × 269,689
  4. Step 4: Simplify right side
    178,576x = 72,732,156,721
  5. Step 5: Solve for x
    x = 72,732,156,721/178,576
  6. Step 6: Final answer
    x = 407,289.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.