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Finding the Third Proportional to 269,826 and 388,656

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Solution

The third proportional to 269,826 and 388,656 is: 559,818.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,826 : 388,656 = 388,656 : x
  2. Step 2: Convert to fraction form
    269,826/388,656 = 388,656/x
  3. Step 3: Cross multiply
    269,826x = 388,656 × 388,656
  4. Step 4: Simplify right side
    269,826x = 151,053,486,336
  5. Step 5: Solve for x
    x = 151,053,486,336/269,826
  6. Step 6: Final answer
    x = 559,818.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.