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Finding the Third Proportional to 143,202.94 and 313,948.41

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Solution

The third proportional to 143,202.94 and 313,948.41 is: 688,279.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,202.94 : 313,948.41 = 313,948.41 : x
  2. Step 2: Convert to fraction form
    143,202.94/313,948.41 = 313,948.41/x
  3. Step 3: Cross multiply
    143,202.94x = 313,948.41 × 313,948.41
  4. Step 4: Simplify right side
    143,202.94x = 98,563,601,786.92
  5. Step 5: Solve for x
    x = 98,563,601,786.92/143,202.94
  6. Step 6: Final answer
    x = 688,279.19

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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.