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Finding the Third Proportional to 143,856 and 312,174

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Solution

The third proportional to 143,856 and 312,174 is: 677,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,856 : 312,174 = 312,174 : x
  2. Step 2: Convert to fraction form
    143,856/312,174 = 312,174/x
  3. Step 3: Cross multiply
    143,856x = 312,174 × 312,174
  4. Step 4: Simplify right side
    143,856x = 97,452,606,276
  5. Step 5: Solve for x
    x = 97,452,606,276/143,856
  6. Step 6: Final answer
    x = 677,431.64

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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.