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Finding the Third Proportional to 183,444 and 378,309

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Solution

The third proportional to 183,444 and 378,309 is: 780,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,444 : 378,309 = 378,309 : x
  2. Step 2: Convert to fraction form
    183,444/378,309 = 378,309/x
  3. Step 3: Cross multiply
    183,444x = 378,309 × 378,309
  4. Step 4: Simplify right side
    183,444x = 143,117,699,481
  5. Step 5: Solve for x
    x = 143,117,699,481/183,444
  6. Step 6: Final answer
    x = 780,171.06

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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.