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Finding the Third Proportional to 621,846 and 1,318,422.75

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Solution

The third proportional to 621,846 and 1,318,422.75 is: 2,795,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,846 : 1,318,422.75 = 1,318,422.75 : x
  2. Step 2: Convert to fraction form
    621,846/1,318,422.75 = 1,318,422.75/x
  3. Step 3: Cross multiply
    621,846x = 1,318,422.75 × 1,318,422.75
  4. Step 4: Simplify right side
    621,846x = 1,738,238,547,717.56
  5. Step 5: Solve for x
    x = 1,738,238,547,717.56/621,846
  6. Step 6: Final answer
    x = 2,795,287.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.