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Finding the Third Proportional to 419,424 and 667,140

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Solution

The third proportional to 419,424 and 667,140 is: 1,061,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,424 : 667,140 = 667,140 : x
  2. Step 2: Convert to fraction form
    419,424/667,140 = 667,140/x
  3. Step 3: Cross multiply
    419,424x = 667,140 × 667,140
  4. Step 4: Simplify right side
    419,424x = 445,075,779,600
  5. Step 5: Solve for x
    x = 445,075,779,600/419,424
  6. Step 6: Final answer
    x = 1,061,159.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.