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Finding the Third Proportional to 416,316 and 982,446

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Solution

The third proportional to 416,316 and 982,446 is: 2,318,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,316 : 982,446 = 982,446 : x
  2. Step 2: Convert to fraction form
    416,316/982,446 = 982,446/x
  3. Step 3: Cross multiply
    416,316x = 982,446 × 982,446
  4. Step 4: Simplify right side
    416,316x = 965,200,142,916
  5. Step 5: Solve for x
    x = 965,200,142,916/416,316
  6. Step 6: Final answer
    x = 2,318,431.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.