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Finding the Third Proportional to 411,195 and 876,678

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Solution

The third proportional to 411,195 and 876,678 is: 1,869,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,195 : 876,678 = 876,678 : x
  2. Step 2: Convert to fraction form
    411,195/876,678 = 876,678/x
  3. Step 3: Cross multiply
    411,195x = 876,678 × 876,678
  4. Step 4: Simplify right side
    411,195x = 768,564,315,684
  5. Step 5: Solve for x
    x = 768,564,315,684/411,195
  6. Step 6: Final answer
    x = 1,869,099.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.