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Finding the Third Proportional to 511,468 and 757,286

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Solution

The third proportional to 511,468 and 757,286 is: 1,121,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,468 : 757,286 = 757,286 : x
  2. Step 2: Convert to fraction form
    511,468/757,286 = 757,286/x
  3. Step 3: Cross multiply
    511,468x = 757,286 × 757,286
  4. Step 4: Simplify right side
    511,468x = 573,482,085,796
  5. Step 5: Solve for x
    x = 573,482,085,796/511,468
  6. Step 6: Final answer
    x = 1,121,247.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.