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Finding the Third Proportional to 141,942 and 311,532

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Solution

The third proportional to 141,942 and 311,532 is: 683,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,942 : 311,532 = 311,532 : x
  2. Step 2: Convert to fraction form
    141,942/311,532 = 311,532/x
  3. Step 3: Cross multiply
    141,942x = 311,532 × 311,532
  4. Step 4: Simplify right side
    141,942x = 97,052,187,024
  5. Step 5: Solve for x
    x = 97,052,187,024/141,942
  6. Step 6: Final answer
    x = 683,745.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.