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Finding the Third Proportional to 135,693.75 and 289,422.38

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Solution

The third proportional to 135,693.75 and 289,422.38 is: 617,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,693.75 : 289,422.38 = 289,422.38 : x
  2. Step 2: Convert to fraction form
    135,693.75/289,422.38 = 289,422.38/x
  3. Step 3: Cross multiply
    135,693.75x = 289,422.38 × 289,422.38
  4. Step 4: Simplify right side
    135,693.75x = 83,765,311,150.64
  5. Step 5: Solve for x
    x = 83,765,311,150.64/135,693.75
  6. Step 6: Final answer
    x = 617,311.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.