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Finding the Third Proportional to 178,634 and 383,170

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Solution

The third proportional to 178,634 and 383,170 is: 821,899.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,634 : 383,170 = 383,170 : x
  2. Step 2: Convert to fraction form
    178,634/383,170 = 383,170/x
  3. Step 3: Cross multiply
    178,634x = 383,170 × 383,170
  4. Step 4: Simplify right side
    178,634x = 146,819,248,900
  5. Step 5: Solve for x
    x = 146,819,248,900/178,634
  6. Step 6: Final answer
    x = 821,899.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.