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Finding the Third Proportional to 180,815 and 378,154

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Solution

The third proportional to 180,815 and 378,154 is: 790,866.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,815 : 378,154 = 378,154 : x
  2. Step 2: Convert to fraction form
    180,815/378,154 = 378,154/x
  3. Step 3: Cross multiply
    180,815x = 378,154 × 378,154
  4. Step 4: Simplify right side
    180,815x = 143,000,447,716
  5. Step 5: Solve for x
    x = 143,000,447,716/180,815
  6. Step 6: Final answer
    x = 790,866.07

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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.