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Finding the Third Proportional to 445,293 and 906,138

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Solution

The third proportional to 445,293 and 906,138 is: 1,843,923.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,293 : 906,138 = 906,138 : x
  2. Step 2: Convert to fraction form
    445,293/906,138 = 906,138/x
  3. Step 3: Cross multiply
    445,293x = 906,138 × 906,138
  4. Step 4: Simplify right side
    445,293x = 821,086,075,044
  5. Step 5: Solve for x
    x = 821,086,075,044/445,293
  6. Step 6: Final answer
    x = 1,843,923.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.