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Finding the Third Proportional to 143,859 and 312,180

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Solution

The third proportional to 143,859 and 312,180 is: 677,443.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,859 : 312,180 = 312,180 : x
  2. Step 2: Convert to fraction form
    143,859/312,180 = 312,180/x
  3. Step 3: Cross multiply
    143,859x = 312,180 × 312,180
  4. Step 4: Simplify right side
    143,859x = 97,456,352,400
  5. Step 5: Solve for x
    x = 97,456,352,400/143,859
  6. Step 6: Final answer
    x = 677,443.56

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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.