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Finding the Third Proportional to 143,011 and 218,364

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Solution

The third proportional to 143,011 and 218,364 is: 333,420.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,011 : 218,364 = 218,364 : x
  2. Step 2: Convert to fraction form
    143,011/218,364 = 218,364/x
  3. Step 3: Cross multiply
    143,011x = 218,364 × 218,364
  4. Step 4: Simplify right side
    143,011x = 47,682,836,496
  5. Step 5: Solve for x
    x = 47,682,836,496/143,011
  6. Step 6: Final answer
    x = 333,420.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.