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Finding the Third Proportional to 638,802 and 988,954

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Solution

The third proportional to 638,802 and 988,954 is: 1,531,037.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,802 : 988,954 = 988,954 : x
  2. Step 2: Convert to fraction form
    638,802/988,954 = 988,954/x
  3. Step 3: Cross multiply
    638,802x = 988,954 × 988,954
  4. Step 4: Simplify right side
    638,802x = 978,030,014,116
  5. Step 5: Solve for x
    x = 978,030,014,116/638,802
  6. Step 6: Final answer
    x = 1,531,037.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.