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Finding the Third Proportional to 141,916 and 311,480

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Solution

The third proportional to 141,916 and 311,480 is: 683,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,916 : 311,480 = 311,480 : x
  2. Step 2: Convert to fraction form
    141,916/311,480 = 311,480/x
  3. Step 3: Cross multiply
    141,916x = 311,480 × 311,480
  4. Step 4: Simplify right side
    141,916x = 97,019,790,400
  5. Step 5: Solve for x
    x = 97,019,790,400/141,916
  6. Step 6: Final answer
    x = 683,642.37

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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.