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Finding the Third Proportional to 511,472 and 757,292

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Solution

The third proportional to 511,472 and 757,292 is: 1,121,256.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,472 : 757,292 = 757,292 : x
  2. Step 2: Convert to fraction form
    511,472/757,292 = 757,292/x
  3. Step 3: Cross multiply
    511,472x = 757,292 × 757,292
  4. Step 4: Simplify right side
    511,472x = 573,491,173,264
  5. Step 5: Solve for x
    x = 573,491,173,264/511,472
  6. Step 6: Final answer
    x = 1,121,256.24

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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.