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Finding the Third Proportional to 178,472 and 261,747

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Solution

The third proportional to 178,472 and 261,747 is: 383,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,472 : 261,747 = 261,747 : x
  2. Step 2: Convert to fraction form
    178,472/261,747 = 261,747/x
  3. Step 3: Cross multiply
    178,472x = 261,747 × 261,747
  4. Step 4: Simplify right side
    178,472x = 68,511,492,009
  5. Step 5: Solve for x
    x = 68,511,492,009/178,472
  6. Step 6: Final answer
    x = 383,878.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.