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Finding the Third Proportional to 178,245 and 371,187

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Solution

The third proportional to 178,245 and 371,187 is: 772,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,245 : 371,187 = 371,187 : x
  2. Step 2: Convert to fraction form
    178,245/371,187 = 371,187/x
  3. Step 3: Cross multiply
    178,245x = 371,187 × 371,187
  4. Step 4: Simplify right side
    178,245x = 137,779,788,969
  5. Step 5: Solve for x
    x = 137,779,788,969/178,245
  6. Step 6: Final answer
    x = 772,979.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.