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Finding the Third Proportional to 239,722.50 and 509,008.50

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Solution

The third proportional to 239,722.50 and 509,008.50 is: 1,080,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,722.50 : 509,008.50 = 509,008.50 : x
  2. Step 2: Convert to fraction form
    239,722.50/509,008.50 = 509,008.50/x
  3. Step 3: Cross multiply
    239,722.50x = 509,008.50 × 509,008.50
  4. Step 4: Simplify right side
    239,722.50x = 259,089,653,072.25
  5. Step 5: Solve for x
    x = 259,089,653,072.25/239,722.50
  6. Step 6: Final answer
    x = 1,080,789.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.