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Finding the Third Proportional to 418,668 and 906,840

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Solution

The third proportional to 418,668 and 906,840 is: 1,964,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,668 : 906,840 = 906,840 : x
  2. Step 2: Convert to fraction form
    418,668/906,840 = 906,840/x
  3. Step 3: Cross multiply
    418,668x = 906,840 × 906,840
  4. Step 4: Simplify right side
    418,668x = 822,358,785,600
  5. Step 5: Solve for x
    x = 822,358,785,600/418,668
  6. Step 6: Final answer
    x = 1,964,226.51

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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.