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Finding the Third Proportional to 311,869 and 482,708

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Solution

The third proportional to 311,869 and 482,708 is: 747,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,869 : 482,708 = 482,708 : x
  2. Step 2: Convert to fraction form
    311,869/482,708 = 482,708/x
  3. Step 3: Cross multiply
    311,869x = 482,708 × 482,708
  4. Step 4: Simplify right side
    311,869x = 233,007,013,264
  5. Step 5: Solve for x
    x = 233,007,013,264/311,869
  6. Step 6: Final answer
    x = 747,131.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.