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Finding the Third Proportional to 646,277 and 986,912

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Solution

The third proportional to 646,277 and 986,912 is: 1,507,086.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,277 : 986,912 = 986,912 : x
  2. Step 2: Convert to fraction form
    646,277/986,912 = 986,912/x
  3. Step 3: Cross multiply
    646,277x = 986,912 × 986,912
  4. Step 4: Simplify right side
    646,277x = 973,995,295,744
  5. Step 5: Solve for x
    x = 973,995,295,744/646,277
  6. Step 6: Final answer
    x = 1,507,086.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.