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Finding the Third Proportional to 339,562 and 459,518

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Solution

The third proportional to 339,562 and 459,518 is: 621,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,562 : 459,518 = 459,518 : x
  2. Step 2: Convert to fraction form
    339,562/459,518 = 459,518/x
  3. Step 3: Cross multiply
    339,562x = 459,518 × 459,518
  4. Step 4: Simplify right side
    339,562x = 211,156,792,324
  5. Step 5: Solve for x
    x = 211,156,792,324/339,562
  6. Step 6: Final answer
    x = 621,850.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.