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Finding the Third Proportional to 511,119 and 1,120,653

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Solution

The third proportional to 511,119 and 1,120,653 is: 2,457,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,119 : 1,120,653 = 1,120,653 : x
  2. Step 2: Convert to fraction form
    511,119/1,120,653 = 1,120,653/x
  3. Step 3: Cross multiply
    511,119x = 1,120,653 × 1,120,653
  4. Step 4: Simplify right side
    511,119x = 1,255,863,146,409
  5. Step 5: Solve for x
    x = 1,255,863,146,409/511,119
  6. Step 6: Final answer
    x = 2,457,085.62

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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.