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Finding the Third Proportional to 143,548.50 and 220,344.75

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Solution

The third proportional to 143,548.50 and 220,344.75 is: 338,225.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,548.50 : 220,344.75 = 220,344.75 : x
  2. Step 2: Convert to fraction form
    143,548.50/220,344.75 = 220,344.75/x
  3. Step 3: Cross multiply
    143,548.50x = 220,344.75 × 220,344.75
  4. Step 4: Simplify right side
    143,548.50x = 48,551,808,852.56
  5. Step 5: Solve for x
    x = 48,551,808,852.56/143,548.50
  6. Step 6: Final answer
    x = 338,225.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.