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Finding the Third Proportional to 142,800 and 313,621

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Solution

The third proportional to 142,800 and 313,621 is: 688,782.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,800 : 313,621 = 313,621 : x
  2. Step 2: Convert to fraction form
    142,800/313,621 = 313,621/x
  3. Step 3: Cross multiply
    142,800x = 313,621 × 313,621
  4. Step 4: Simplify right side
    142,800x = 98,358,131,641
  5. Step 5: Solve for x
    x = 98,358,131,641/142,800
  6. Step 6: Final answer
    x = 688,782.43

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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.