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Finding the Third Proportional to 419,717 and 916,268

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Solution

The third proportional to 419,717 and 916,268 is: 2,000,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,717 : 916,268 = 916,268 : x
  2. Step 2: Convert to fraction form
    419,717/916,268 = 916,268/x
  3. Step 3: Cross multiply
    419,717x = 916,268 × 916,268
  4. Step 4: Simplify right side
    419,717x = 839,547,047,824
  5. Step 5: Solve for x
    x = 839,547,047,824/419,717
  6. Step 6: Final answer
    x = 2,000,269.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.