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Finding the Third Proportional to 142,740 and 313,723

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Solution

The third proportional to 142,740 and 313,723 is: 689,520.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,740 : 313,723 = 313,723 : x
  2. Step 2: Convert to fraction form
    142,740/313,723 = 313,723/x
  3. Step 3: Cross multiply
    142,740x = 313,723 × 313,723
  4. Step 4: Simplify right side
    142,740x = 98,422,120,729
  5. Step 5: Solve for x
    x = 98,422,120,729/142,740
  6. Step 6: Final answer
    x = 689,520.25

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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.