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Finding the Third Proportional to 143,743.50 and 208,924.88

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Solution

The third proportional to 143,743.50 and 208,924.88 is: 303,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,743.50 : 208,924.88 = 208,924.88 : x
  2. Step 2: Convert to fraction form
    143,743.50/208,924.88 = 208,924.88/x
  3. Step 3: Cross multiply
    143,743.50x = 208,924.88 × 208,924.88
  4. Step 4: Simplify right side
    143,743.50x = 43,649,603,393.77
  5. Step 5: Solve for x
    x = 43,649,603,393.77/143,743.50
  6. Step 6: Final answer
    x = 303,663.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.