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Finding the Third Proportional to 142,723 and 310,874

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Solution

The third proportional to 142,723 and 310,874 is: 677,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,723 : 310,874 = 310,874 : x
  2. Step 2: Convert to fraction form
    142,723/310,874 = 310,874/x
  3. Step 3: Cross multiply
    142,723x = 310,874 × 310,874
  4. Step 4: Simplify right side
    142,723x = 96,642,643,876
  5. Step 5: Solve for x
    x = 96,642,643,876/142,723
  6. Step 6: Final answer
    x = 677,134.34

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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.