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Finding the Third Proportional to 291,868 and 419,368

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Solution

The third proportional to 291,868 and 419,368 is: 602,565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,868 : 419,368 = 419,368 : x
  2. Step 2: Convert to fraction form
    291,868/419,368 = 419,368/x
  3. Step 3: Cross multiply
    291,868x = 419,368 × 419,368
  4. Step 4: Simplify right side
    291,868x = 175,869,519,424
  5. Step 5: Solve for x
    x = 175,869,519,424/291,868
  6. Step 6: Final answer
    x = 602,565.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.