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Finding the Third Proportional to 143,743.50 and 190,828.13

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Solution

The third proportional to 143,743.50 and 190,828.13 is: 253,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,743.50 : 190,828.13 = 190,828.13 : x
  2. Step 2: Convert to fraction form
    143,743.50/190,828.13 = 190,828.13/x
  3. Step 3: Cross multiply
    143,743.50x = 190,828.13 × 190,828.13
  4. Step 4: Simplify right side
    143,743.50x = 36,415,373,291.02
  5. Step 5: Solve for x
    x = 36,415,373,291.02/143,743.50
  6. Step 6: Final answer
    x = 253,335.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.