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Finding the Third Proportional to 223,537.50 and 484,368.75

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Solution

The third proportional to 223,537.50 and 484,368.75 is: 1,049,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,537.50 : 484,368.75 = 484,368.75 : x
  2. Step 2: Convert to fraction form
    223,537.50/484,368.75 = 484,368.75/x
  3. Step 3: Cross multiply
    223,537.50x = 484,368.75 × 484,368.75
  4. Step 4: Simplify right side
    223,537.50x = 234,613,085,976.56
  5. Step 5: Solve for x
    x = 234,613,085,976.56/223,537.50
  6. Step 6: Final answer
    x = 1,049,546.88

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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.