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Finding the Third Proportional to 142,869 and 311,136

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Solution

The third proportional to 142,869 and 311,136 is: 677,583.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,869 : 311,136 = 311,136 : x
  2. Step 2: Convert to fraction form
    142,869/311,136 = 311,136/x
  3. Step 3: Cross multiply
    142,869x = 311,136 × 311,136
  4. Step 4: Simplify right side
    142,869x = 96,805,610,496
  5. Step 5: Solve for x
    x = 96,805,610,496/142,869
  6. Step 6: Final answer
    x = 677,583.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.