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Finding the Third Proportional to 622,431 and 988,085

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Solution

The third proportional to 622,431 and 988,085 is: 1,568,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,431 : 988,085 = 988,085 : x
  2. Step 2: Convert to fraction form
    622,431/988,085 = 988,085/x
  3. Step 3: Cross multiply
    622,431x = 988,085 × 988,085
  4. Step 4: Simplify right side
    622,431x = 976,311,967,225
  5. Step 5: Solve for x
    x = 976,311,967,225/622,431
  6. Step 6: Final answer
    x = 1,568,546.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.