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Finding the Third Proportional to 102,154.50 and 143,022.75

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Solution

The third proportional to 102,154.50 and 143,022.75 is: 200,240.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,154.50 : 143,022.75 = 143,022.75 : x
  2. Step 2: Convert to fraction form
    102,154.50/143,022.75 = 143,022.75/x
  3. Step 3: Cross multiply
    102,154.50x = 143,022.75 × 143,022.75
  4. Step 4: Simplify right side
    102,154.50x = 20,455,507,017.56
  5. Step 5: Solve for x
    x = 20,455,507,017.56/102,154.50
  6. Step 6: Final answer
    x = 200,240.88

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.