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Finding the Third Proportional to 178,796 and 378,328

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Solution

The third proportional to 178,796 and 378,328 is: 800,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,796 : 378,328 = 378,328 : x
  2. Step 2: Convert to fraction form
    178,796/378,328 = 378,328/x
  3. Step 3: Cross multiply
    178,796x = 378,328 × 378,328
  4. Step 4: Simplify right side
    178,796x = 143,132,075,584
  5. Step 5: Solve for x
    x = 143,132,075,584/178,796
  6. Step 6: Final answer
    x = 800,532.87

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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.