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Finding the Third Proportional to 988,198 and 2,154,828

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Solution

The third proportional to 988,198 and 2,154,828 is: 4,698,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,198 : 2,154,828 = 2,154,828 : x
  2. Step 2: Convert to fraction form
    988,198/2,154,828 = 2,154,828/x
  3. Step 3: Cross multiply
    988,198x = 2,154,828 × 2,154,828
  4. Step 4: Simplify right side
    988,198x = 4,643,283,709,584
  5. Step 5: Solve for x
    x = 4,643,283,709,584/988,198
  6. Step 6: Final answer
    x = 4,698,738.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.