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Finding the Third Proportional to 271,826 and 419,613

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Solution

The third proportional to 271,826 and 419,613 is: 647,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,826 : 419,613 = 419,613 : x
  2. Step 2: Convert to fraction form
    271,826/419,613 = 419,613/x
  3. Step 3: Cross multiply
    271,826x = 419,613 × 419,613
  4. Step 4: Simplify right side
    271,826x = 176,075,069,769
  5. Step 5: Solve for x
    x = 176,075,069,769/271,826
  6. Step 6: Final answer
    x = 647,749.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.