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Finding the Third Proportional to 183,558 and 389,178

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Solution

The third proportional to 183,558 and 389,178 is: 825,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,558 : 389,178 = 389,178 : x
  2. Step 2: Convert to fraction form
    183,558/389,178 = 389,178/x
  3. Step 3: Cross multiply
    183,558x = 389,178 × 389,178
  4. Step 4: Simplify right side
    183,558x = 151,459,515,684
  5. Step 5: Solve for x
    x = 151,459,515,684/183,558
  6. Step 6: Final answer
    x = 825,131.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.