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Finding the Third Proportional to 178,302 and 391,593

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Solution

The third proportional to 178,302 and 391,593 is: 860,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,302 : 391,593 = 391,593 : x
  2. Step 2: Convert to fraction form
    178,302/391,593 = 391,593/x
  3. Step 3: Cross multiply
    178,302x = 391,593 × 391,593
  4. Step 4: Simplify right side
    178,302x = 153,345,077,649
  5. Step 5: Solve for x
    x = 153,345,077,649/178,302
  6. Step 6: Final answer
    x = 860,030.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.