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Finding the Third Proportional to 143,247 and 303,570

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Solution

The third proportional to 143,247 and 303,570 is: 643,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,247 : 303,570 = 303,570 : x
  2. Step 2: Convert to fraction form
    143,247/303,570 = 303,570/x
  3. Step 3: Cross multiply
    143,247x = 303,570 × 303,570
  4. Step 4: Simplify right side
    143,247x = 92,154,744,900
  5. Step 5: Solve for x
    x = 92,154,744,900/143,247
  6. Step 6: Final answer
    x = 643,327.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.