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Finding the Third Proportional to 311,922 and 683,076

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Solution

The third proportional to 311,922 and 683,076 is: 1,495,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,922 : 683,076 = 683,076 : x
  2. Step 2: Convert to fraction form
    311,922/683,076 = 683,076/x
  3. Step 3: Cross multiply
    311,922x = 683,076 × 683,076
  4. Step 4: Simplify right side
    311,922x = 466,592,821,776
  5. Step 5: Solve for x
    x = 466,592,821,776/311,922
  6. Step 6: Final answer
    x = 1,495,863.78

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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.