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Finding the Third Proportional to 143,115.50 and 310,835

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Solution

The third proportional to 143,115.50 and 310,835 is: 675,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,115.50 : 310,835 = 310,835 : x
  2. Step 2: Convert to fraction form
    143,115.50/310,835 = 310,835/x
  3. Step 3: Cross multiply
    143,115.50x = 310,835 × 310,835
  4. Step 4: Simplify right side
    143,115.50x = 96,618,397,225
  5. Step 5: Solve for x
    x = 96,618,397,225/143,115.50
  6. Step 6: Final answer
    x = 675,107.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.