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Finding the Third Proportional to 405,918 and 876,878

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Solution

The third proportional to 405,918 and 876,878 is: 1,894,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,918 : 876,878 = 876,878 : x
  2. Step 2: Convert to fraction form
    405,918/876,878 = 876,878/x
  3. Step 3: Cross multiply
    405,918x = 876,878 × 876,878
  4. Step 4: Simplify right side
    405,918x = 768,915,026,884
  5. Step 5: Solve for x
    x = 768,915,026,884/405,918
  6. Step 6: Final answer
    x = 1,894,261.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.