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Finding the Third Proportional to 133,778 and 183,443

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Solution

The third proportional to 133,778 and 183,443 is: 251,546.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,778 : 183,443 = 183,443 : x
  2. Step 2: Convert to fraction form
    133,778/183,443 = 183,443/x
  3. Step 3: Cross multiply
    133,778x = 183,443 × 183,443
  4. Step 4: Simplify right side
    133,778x = 33,651,334,249
  5. Step 5: Solve for x
    x = 33,651,334,249/133,778
  6. Step 6: Final answer
    x = 251,546.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.