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Finding the Third Proportional to 180,902 and 378,310

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Solution

The third proportional to 180,902 and 378,310 is: 791,138.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902 : 378,310 = 378,310 : x
  2. Step 2: Convert to fraction form
    180,902/378,310 = 378,310/x
  3. Step 3: Cross multiply
    180,902x = 378,310 × 378,310
  4. Step 4: Simplify right side
    180,902x = 143,118,456,100
  5. Step 5: Solve for x
    x = 143,118,456,100/180,902
  6. Step 6: Final answer
    x = 791,138.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.