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Finding the Third Proportional to 413,302 and 622,989

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Solution

The third proportional to 413,302 and 622,989 is: 939,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,302 : 622,989 = 622,989 : x
  2. Step 2: Convert to fraction form
    413,302/622,989 = 622,989/x
  3. Step 3: Cross multiply
    413,302x = 622,989 × 622,989
  4. Step 4: Simplify right side
    413,302x = 388,115,294,121
  5. Step 5: Solve for x
    x = 388,115,294,121/413,302
  6. Step 6: Final answer
    x = 939,059.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.