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Finding the Third Proportional to 143,608.50 and 306,765

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Solution

The third proportional to 143,608.50 and 306,765 is: 655,286.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,608.50 : 306,765 = 306,765 : x
  2. Step 2: Convert to fraction form
    143,608.50/306,765 = 306,765/x
  3. Step 3: Cross multiply
    143,608.50x = 306,765 × 306,765
  4. Step 4: Simplify right side
    143,608.50x = 94,104,765,225
  5. Step 5: Solve for x
    x = 94,104,765,225/143,608.50
  6. Step 6: Final answer
    x = 655,286.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.