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Finding the Third Proportional to 180,817 and 378,158

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Solution

The third proportional to 180,817 and 378,158 is: 790,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,817 : 378,158 = 378,158 : x
  2. Step 2: Convert to fraction form
    180,817/378,158 = 378,158/x
  3. Step 3: Cross multiply
    180,817x = 378,158 × 378,158
  4. Step 4: Simplify right side
    180,817x = 143,003,472,964
  5. Step 5: Solve for x
    x = 143,003,472,964/180,817
  6. Step 6: Final answer
    x = 790,874.05

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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.