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Finding the Third Proportional to 143,020.88 and 308,532.75

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Solution

The third proportional to 143,020.88 and 308,532.75 is: 665,584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,020.88 : 308,532.75 = 308,532.75 : x
  2. Step 2: Convert to fraction form
    143,020.88/308,532.75 = 308,532.75/x
  3. Step 3: Cross multiply
    143,020.88x = 308,532.75 × 308,532.75
  4. Step 4: Simplify right side
    143,020.88x = 95,192,457,822.56
  5. Step 5: Solve for x
    x = 95,192,457,822.56/143,020.88
  6. Step 6: Final answer
    x = 665,584.36

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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.