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Finding the Third Proportional to 394,869 and 577,495

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Solution

The third proportional to 394,869 and 577,495 is: 844,585.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,869 : 577,495 = 577,495 : x
  2. Step 2: Convert to fraction form
    394,869/577,495 = 577,495/x
  3. Step 3: Cross multiply
    394,869x = 577,495 × 577,495
  4. Step 4: Simplify right side
    394,869x = 333,500,475,025
  5. Step 5: Solve for x
    x = 333,500,475,025/394,869
  6. Step 6: Final answer
    x = 844,585.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.