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Finding the Third Proportional to 142,853 and 311,104

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Solution

The third proportional to 142,853 and 311,104 is: 677,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,853 : 311,104 = 311,104 : x
  2. Step 2: Convert to fraction form
    142,853/311,104 = 311,104/x
  3. Step 3: Cross multiply
    142,853x = 311,104 × 311,104
  4. Step 4: Simplify right side
    142,853x = 96,785,698,816
  5. Step 5: Solve for x
    x = 96,785,698,816/142,853
  6. Step 6: Final answer
    x = 677,519.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.