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Finding the Third Proportional to 205,633 and 495,378

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Solution

The third proportional to 205,633 and 495,378 is: 1,193,385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,633 : 495,378 = 495,378 : x
  2. Step 2: Convert to fraction form
    205,633/495,378 = 495,378/x
  3. Step 3: Cross multiply
    205,633x = 495,378 × 495,378
  4. Step 4: Simplify right side
    205,633x = 245,399,362,884
  5. Step 5: Solve for x
    x = 245,399,362,884/205,633
  6. Step 6: Final answer
    x = 1,193,385.12

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.