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Finding the Third Proportional to 144,106 and 218,143

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Solution

The third proportional to 144,106 and 218,143 is: 330,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,106 : 218,143 = 218,143 : x
  2. Step 2: Convert to fraction form
    144,106/218,143 = 218,143/x
  3. Step 3: Cross multiply
    144,106x = 218,143 × 218,143
  4. Step 4: Simplify right side
    144,106x = 47,586,368,449
  5. Step 5: Solve for x
    x = 47,586,368,449/144,106
  6. Step 6: Final answer
    x = 330,217.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.