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Finding the Third Proportional to 178,790 and 378,316

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Solution

The third proportional to 178,790 and 378,316 is: 800,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,790 : 378,316 = 378,316 : x
  2. Step 2: Convert to fraction form
    178,790/378,316 = 378,316/x
  3. Step 3: Cross multiply
    178,790x = 378,316 × 378,316
  4. Step 4: Simplify right side
    178,790x = 143,122,995,856
  5. Step 5: Solve for x
    x = 143,122,995,856/178,790
  6. Step 6: Final answer
    x = 800,508.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.