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Finding the Third Proportional to 110,778 and 243,708

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Solution

The third proportional to 110,778 and 243,708 is: 536,149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,778 : 243,708 = 243,708 : x
  2. Step 2: Convert to fraction form
    110,778/243,708 = 243,708/x
  3. Step 3: Cross multiply
    110,778x = 243,708 × 243,708
  4. Step 4: Simplify right side
    110,778x = 59,393,589,264
  5. Step 5: Solve for x
    x = 59,393,589,264/110,778
  6. Step 6: Final answer
    x = 536,149.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.