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Finding the Third Proportional to 252,778 and 379,816

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Solution

The third proportional to 252,778 and 379,816 is: 570,699.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,778 : 379,816 = 379,816 : x
  2. Step 2: Convert to fraction form
    252,778/379,816 = 379,816/x
  3. Step 3: Cross multiply
    252,778x = 379,816 × 379,816
  4. Step 4: Simplify right side
    252,778x = 144,260,193,856
  5. Step 5: Solve for x
    x = 144,260,193,856/252,778
  6. Step 6: Final answer
    x = 570,699.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.