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Finding the Third Proportional to 180,900 and 378,306

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Solution

The third proportional to 180,900 and 378,306 is: 791,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,900 : 378,306 = 378,306 : x
  2. Step 2: Convert to fraction form
    180,900/378,306 = 378,306/x
  3. Step 3: Cross multiply
    180,900x = 378,306 × 378,306
  4. Step 4: Simplify right side
    180,900x = 143,115,429,636
  5. Step 5: Solve for x
    x = 143,115,429,636/180,900
  6. Step 6: Final answer
    x = 791,130.07

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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.