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Finding the Third Proportional to 142,742 and 313,728

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Solution

The third proportional to 142,742 and 313,728 is: 689,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,742 : 313,728 = 313,728 : x
  2. Step 2: Convert to fraction form
    142,742/313,728 = 313,728/x
  3. Step 3: Cross multiply
    142,742x = 313,728 × 313,728
  4. Step 4: Simplify right side
    142,742x = 98,425,257,984
  5. Step 5: Solve for x
    x = 98,425,257,984/142,742
  6. Step 6: Final answer
    x = 689,532.57

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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.