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Finding the Third Proportional to 621,253 and 1,358,821

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Solution

The third proportional to 621,253 and 1,358,821 is: 2,972,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,253 : 1,358,821 = 1,358,821 : x
  2. Step 2: Convert to fraction form
    621,253/1,358,821 = 1,358,821/x
  3. Step 3: Cross multiply
    621,253x = 1,358,821 × 1,358,821
  4. Step 4: Simplify right side
    621,253x = 1,846,394,510,041
  5. Step 5: Solve for x
    x = 1,846,394,510,041/621,253
  6. Step 6: Final answer
    x = 2,972,049.25

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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.