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Finding the Third Proportional to 142,956 and 313,920

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Solution

The third proportional to 142,956 and 313,920 is: 689,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,956 : 313,920 = 313,920 : x
  2. Step 2: Convert to fraction form
    142,956/313,920 = 313,920/x
  3. Step 3: Cross multiply
    142,956x = 313,920 × 313,920
  4. Step 4: Simplify right side
    142,956x = 98,545,766,400
  5. Step 5: Solve for x
    x = 98,545,766,400/142,956
  6. Step 6: Final answer
    x = 689,343.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.