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Finding the Third Proportional to 178,788 and 378,312

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Solution

The third proportional to 178,788 and 378,312 is: 800,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,788 : 378,312 = 378,312 : x
  2. Step 2: Convert to fraction form
    178,788/378,312 = 378,312/x
  3. Step 3: Cross multiply
    178,788x = 378,312 × 378,312
  4. Step 4: Simplify right side
    178,788x = 143,119,969,344
  5. Step 5: Solve for x
    x = 143,119,969,344/178,788
  6. Step 6: Final answer
    x = 800,500.98

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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.