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Finding the Third Proportional to 142,560 and 331,486.50

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Solution

The third proportional to 142,560 and 331,486.50 is: 770,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,560 : 331,486.50 = 331,486.50 : x
  2. Step 2: Convert to fraction form
    142,560/331,486.50 = 331,486.50/x
  3. Step 3: Cross multiply
    142,560x = 331,486.50 × 331,486.50
  4. Step 4: Simplify right side
    142,560x = 109,883,299,682.25
  5. Step 5: Solve for x
    x = 109,883,299,682.25/142,560
  6. Step 6: Final answer
    x = 770,786.33

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.