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Finding the Third Proportional to 182,778 and 400,864

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Solution

The third proportional to 182,778 and 400,864 is: 879,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,778 : 400,864 = 400,864 : x
  2. Step 2: Convert to fraction form
    182,778/400,864 = 400,864/x
  3. Step 3: Cross multiply
    182,778x = 400,864 × 400,864
  4. Step 4: Simplify right side
    182,778x = 160,691,946,496
  5. Step 5: Solve for x
    x = 160,691,946,496/182,778
  6. Step 6: Final answer
    x = 879,164.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.