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Finding the Third Proportional to 145,989.50 and 313,801

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Solution

The third proportional to 145,989.50 and 313,801 is: 674,507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,989.50 : 313,801 = 313,801 : x
  2. Step 2: Convert to fraction form
    145,989.50/313,801 = 313,801/x
  3. Step 3: Cross multiply
    145,989.50x = 313,801 × 313,801
  4. Step 4: Simplify right side
    145,989.50x = 98,471,067,601
  5. Step 5: Solve for x
    x = 98,471,067,601/145,989.50
  6. Step 6: Final answer
    x = 674,507.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.