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Finding the Third Proportional to 200,778 and 436,544

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Solution

The third proportional to 200,778 and 436,544 is: 949,161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778 : 436,544 = 436,544 : x
  2. Step 2: Convert to fraction form
    200,778/436,544 = 436,544/x
  3. Step 3: Cross multiply
    200,778x = 436,544 × 436,544
  4. Step 4: Simplify right side
    200,778x = 190,570,663,936
  5. Step 5: Solve for x
    x = 190,570,663,936/200,778
  6. Step 6: Final answer
    x = 949,161.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.