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Finding the Third Proportional to 110,770.50 and 243,684

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Solution

The third proportional to 110,770.50 and 243,684 is: 536,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,770.50 : 243,684 = 243,684 : x
  2. Step 2: Convert to fraction form
    110,770.50/243,684 = 243,684/x
  3. Step 3: Cross multiply
    110,770.50x = 243,684 × 243,684
  4. Step 4: Simplify right side
    110,770.50x = 59,381,891,856
  5. Step 5: Solve for x
    x = 59,381,891,856/110,770.50
  6. Step 6: Final answer
    x = 536,080.38

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