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Finding the Third Proportional to 235,998.56 and 509,312.81

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Solution

The third proportional to 235,998.56 and 509,312.81 is: 1,099,157.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,998.56 : 509,312.81 = 509,312.81 : x
  2. Step 2: Convert to fraction form
    235,998.56/509,312.81 = 509,312.81/x
  3. Step 3: Cross multiply
    235,998.56x = 509,312.81 × 509,312.81
  4. Step 4: Simplify right side
    235,998.56x = 259,399,540,976.66
  5. Step 5: Solve for x
    x = 259,399,540,976.66/235,998.56
  6. Step 6: Final answer
    x = 1,099,157.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.