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Finding the Third Proportional to 242,815 and 495,269

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Solution

The third proportional to 242,815 and 495,269 is: 1,010,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,815 : 495,269 = 495,269 : x
  2. Step 2: Convert to fraction form
    242,815/495,269 = 495,269/x
  3. Step 3: Cross multiply
    242,815x = 495,269 × 495,269
  4. Step 4: Simplify right side
    242,815x = 245,291,382,361
  5. Step 5: Solve for x
    x = 245,291,382,361/242,815
  6. Step 6: Final answer
    x = 1,010,198.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.