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Finding the Third Proportional to 64,196 and 143,149

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Solution

The third proportional to 64,196 and 143,149 is: 319,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196 : 143,149 = 143,149 : x
  2. Step 2: Convert to fraction form
    64,196/143,149 = 143,149/x
  3. Step 3: Cross multiply
    64,196x = 143,149 × 143,149
  4. Step 4: Simplify right side
    64,196x = 20,491,636,201
  5. Step 5: Solve for x
    x = 20,491,636,201/64,196
  6. Step 6: Final answer
    x = 319,204.25

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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.