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Finding the Third Proportional to 142,716.94 and 313,682.63

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Solution

The third proportional to 142,716.94 and 313,682.63 is: 689,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,716.94 : 313,682.63 = 313,682.63 : x
  2. Step 2: Convert to fraction form
    142,716.94/313,682.63 = 313,682.63/x
  3. Step 3: Cross multiply
    142,716.94x = 313,682.63 × 313,682.63
  4. Step 4: Simplify right side
    142,716.94x = 98,396,789,226.89
  5. Step 5: Solve for x
    x = 98,396,789,226.89/142,716.94
  6. Step 6: Final answer
    x = 689,454.18

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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.