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Finding the Third Proportional to 418,656 and 906,816

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Solution

The third proportional to 418,656 and 906,816 is: 1,964,178.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,656 : 906,816 = 906,816 : x
  2. Step 2: Convert to fraction form
    418,656/906,816 = 906,816/x
  3. Step 3: Cross multiply
    418,656x = 906,816 × 906,816
  4. Step 4: Simplify right side
    418,656x = 822,315,257,856
  5. Step 5: Solve for x
    x = 822,315,257,856/418,656
  6. Step 6: Final answer
    x = 1,964,178.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.