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Finding the Third Proportional to 142,840 and 313,704

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Solution

The third proportional to 142,840 and 313,704 is: 688,954.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,840 : 313,704 = 313,704 : x
  2. Step 2: Convert to fraction form
    142,840/313,704 = 313,704/x
  3. Step 3: Cross multiply
    142,840x = 313,704 × 313,704
  4. Step 4: Simplify right side
    142,840x = 98,410,199,616
  5. Step 5: Solve for x
    x = 98,410,199,616/142,840
  6. Step 6: Final answer
    x = 688,954.07

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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.