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Finding the Third Proportional to 264,609 and 400,427

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Solution

The third proportional to 264,609 and 400,427 is: 605,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,609 : 400,427 = 400,427 : x
  2. Step 2: Convert to fraction form
    264,609/400,427 = 400,427/x
  3. Step 3: Cross multiply
    264,609x = 400,427 × 400,427
  4. Step 4: Simplify right side
    264,609x = 160,341,782,329
  5. Step 5: Solve for x
    x = 160,341,782,329/264,609
  6. Step 6: Final answer
    x = 605,957.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.