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Finding the Third Proportional to 143,334 and 311,544

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Solution

The third proportional to 143,334 and 311,544 is: 677,157.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,334 : 311,544 = 311,544 : x
  2. Step 2: Convert to fraction form
    143,334/311,544 = 311,544/x
  3. Step 3: Cross multiply
    143,334x = 311,544 × 311,544
  4. Step 4: Simplify right side
    143,334x = 97,059,663,936
  5. Step 5: Solve for x
    x = 97,059,663,936/143,334
  6. Step 6: Final answer
    x = 677,157.30

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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.