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Finding the Third Proportional to 511,805 and 1,120,378

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Solution

The third proportional to 511,805 and 1,120,378 is: 2,452,588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,805 : 1,120,378 = 1,120,378 : x
  2. Step 2: Convert to fraction form
    511,805/1,120,378 = 1,120,378/x
  3. Step 3: Cross multiply
    511,805x = 1,120,378 × 1,120,378
  4. Step 4: Simplify right side
    511,805x = 1,255,246,862,884
  5. Step 5: Solve for x
    x = 1,255,246,862,884/511,805
  6. Step 6: Final answer
    x = 2,452,588.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.