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Finding the Third Proportional to 158,544.50 and 232,128.75

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Solution

The third proportional to 158,544.50 and 232,128.75 is: 339,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,544.50 : 232,128.75 = 232,128.75 : x
  2. Step 2: Convert to fraction form
    158,544.50/232,128.75 = 232,128.75/x
  3. Step 3: Cross multiply
    158,544.50x = 232,128.75 × 232,128.75
  4. Step 4: Simplify right side
    158,544.50x = 53,883,756,576.56
  5. Step 5: Solve for x
    x = 53,883,756,576.56/158,544.50
  6. Step 6: Final answer
    x = 339,865.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.