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Finding the Third Proportional to 2,122,790 and 4,485,178

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Solution

The third proportional to 2,122,790 and 4,485,178 is: 9,476,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122,790 : 4,485,178 = 4,485,178 : x
  2. Step 2: Convert to fraction form
    2,122,790/4,485,178 = 4,485,178/x
  3. Step 3: Cross multiply
    2,122,790x = 4,485,178 × 4,485,178
  4. Step 4: Simplify right side
    2,122,790x = 20,116,821,691,684
  5. Step 5: Solve for x
    x = 20,116,821,691,684/2,122,790
  6. Step 6: Final answer
    x = 9,476,595.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.