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Finding the Third Proportional to 143,100 and 313,416

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Solution

The third proportional to 143,100 and 313,416 is: 686,440.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,100 : 313,416 = 313,416 : x
  2. Step 2: Convert to fraction form
    143,100/313,416 = 313,416/x
  3. Step 3: Cross multiply
    143,100x = 313,416 × 313,416
  4. Step 4: Simplify right side
    143,100x = 98,229,589,056
  5. Step 5: Solve for x
    x = 98,229,589,056/143,100
  6. Step 6: Final answer
    x = 686,440.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.