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Finding the Third Proportional to 205,634 and 495,381

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Solution

The third proportional to 205,634 and 495,381 is: 1,193,393.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,634 : 495,381 = 495,381 : x
  2. Step 2: Convert to fraction form
    205,634/495,381 = 495,381/x
  3. Step 3: Cross multiply
    205,634x = 495,381 × 495,381
  4. Step 4: Simplify right side
    205,634x = 245,402,335,161
  5. Step 5: Solve for x
    x = 245,402,335,161/205,634
  6. Step 6: Final answer
    x = 1,193,393.77

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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.