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Finding the Third Proportional to 278,865 and 572,427

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Solution

The third proportional to 278,865 and 572,427 is: 1,175,022.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,865 : 572,427 = 572,427 : x
  2. Step 2: Convert to fraction form
    278,865/572,427 = 572,427/x
  3. Step 3: Cross multiply
    278,865x = 572,427 × 572,427
  4. Step 4: Simplify right side
    278,865x = 327,672,670,329
  5. Step 5: Solve for x
    x = 327,672,670,329/278,865
  6. Step 6: Final answer
    x = 1,175,022.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.