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Finding the Third Proportional to 183,447 and 378,315

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Solution

The third proportional to 183,447 and 378,315 is: 780,183.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,447 : 378,315 = 378,315 : x
  2. Step 2: Convert to fraction form
    183,447/378,315 = 378,315/x
  3. Step 3: Cross multiply
    183,447x = 378,315 × 378,315
  4. Step 4: Simplify right side
    183,447x = 143,122,239,225
  5. Step 5: Solve for x
    x = 143,122,239,225/183,447
  6. Step 6: Final answer
    x = 780,183.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.