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Finding the Third Proportional to 419,148 and 663,993

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Solution

The third proportional to 419,148 and 663,993 is: 1,051,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,148 : 663,993 = 663,993 : x
  2. Step 2: Convert to fraction form
    419,148/663,993 = 663,993/x
  3. Step 3: Cross multiply
    419,148x = 663,993 × 663,993
  4. Step 4: Simplify right side
    419,148x = 440,886,704,049
  5. Step 5: Solve for x
    x = 440,886,704,049/419,148
  6. Step 6: Final answer
    x = 1,051,864.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.