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Finding the Third Proportional to 430,992 and 906,648

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Solution

The third proportional to 430,992 and 906,648 is: 1,907,252.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,992 : 906,648 = 906,648 : x
  2. Step 2: Convert to fraction form
    430,992/906,648 = 906,648/x
  3. Step 3: Cross multiply
    430,992x = 906,648 × 906,648
  4. Step 4: Simplify right side
    430,992x = 822,010,595,904
  5. Step 5: Solve for x
    x = 822,010,595,904/430,992
  6. Step 6: Final answer
    x = 1,907,252.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.