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Finding the Third Proportional to 87,638.25 and 143,090.25

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Solution

The third proportional to 87,638.25 and 143,090.25 is: 233,628.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,638.25 : 143,090.25 = 143,090.25 : x
  2. Step 2: Convert to fraction form
    87,638.25/143,090.25 = 143,090.25/x
  3. Step 3: Cross multiply
    87,638.25x = 143,090.25 × 143,090.25
  4. Step 4: Simplify right side
    87,638.25x = 20,474,819,645.06
  5. Step 5: Solve for x
    x = 20,474,819,645.06/87,638.25
  6. Step 6: Final answer
    x = 233,628.81

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.