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Finding the Third Proportional to 178,309 and 391,606

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Solution

The third proportional to 178,309 and 391,606 is: 860,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,309 : 391,606 = 391,606 : x
  2. Step 2: Convert to fraction form
    178,309/391,606 = 391,606/x
  3. Step 3: Cross multiply
    178,309x = 391,606 × 391,606
  4. Step 4: Simplify right side
    178,309x = 153,355,259,236
  5. Step 5: Solve for x
    x = 153,355,259,236/178,309
  6. Step 6: Final answer
    x = 860,053.39

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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.