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Finding the Third Proportional to 142,869 and 312,302

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Solution

The third proportional to 142,869 and 312,302 is: 682,671.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,869 : 312,302 = 312,302 : x
  2. Step 2: Convert to fraction form
    142,869/312,302 = 312,302/x
  3. Step 3: Cross multiply
    142,869x = 312,302 × 312,302
  4. Step 4: Simplify right side
    142,869x = 97,532,539,204
  5. Step 5: Solve for x
    x = 97,532,539,204/142,869
  6. Step 6: Final answer
    x = 682,671.11

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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.