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Finding the Third Proportional to 141,918 and 311,484

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Solution

The third proportional to 141,918 and 311,484 is: 683,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,918 : 311,484 = 311,484 : x
  2. Step 2: Convert to fraction form
    141,918/311,484 = 311,484/x
  3. Step 3: Cross multiply
    141,918x = 311,484 × 311,484
  4. Step 4: Simplify right side
    141,918x = 97,022,282,256
  5. Step 5: Solve for x
    x = 97,022,282,256/141,918
  6. Step 6: Final answer
    x = 683,650.29

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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.