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Finding the Third Proportional to 64,198.50 and 143,148

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Solution

The third proportional to 64,198.50 and 143,148 is: 319,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,198.50 : 143,148 = 143,148 : x
  2. Step 2: Convert to fraction form
    64,198.50/143,148 = 143,148/x
  3. Step 3: Cross multiply
    64,198.50x = 143,148 × 143,148
  4. Step 4: Simplify right side
    64,198.50x = 20,491,349,904
  5. Step 5: Solve for x
    x = 20,491,349,904/64,198.50
  6. Step 6: Final answer
    x = 319,187.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.