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Finding the Third Proportional to 305,075 and 461,555

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Solution

The third proportional to 305,075 and 461,555 is: 698,297.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,075 : 461,555 = 461,555 : x
  2. Step 2: Convert to fraction form
    305,075/461,555 = 461,555/x
  3. Step 3: Cross multiply
    305,075x = 461,555 × 461,555
  4. Step 4: Simplify right side
    305,075x = 213,033,018,025
  5. Step 5: Solve for x
    x = 213,033,018,025/305,075
  6. Step 6: Final answer
    x = 698,297.20

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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.