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Finding the Third Proportional to 630,928 and 906,912

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Solution

The third proportional to 630,928 and 906,912 is: 1,303,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,928 : 906,912 = 906,912 : x
  2. Step 2: Convert to fraction form
    630,928/906,912 = 906,912/x
  3. Step 3: Cross multiply
    630,928x = 906,912 × 906,912
  4. Step 4: Simplify right side
    630,928x = 822,489,375,744
  5. Step 5: Solve for x
    x = 822,489,375,744/630,928
  6. Step 6: Final answer
    x = 1,303,618.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.