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Finding the Third Proportional to 251,838 and 393,075

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Solution

The third proportional to 251,838 and 393,075 is: 613,521.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,838 : 393,075 = 393,075 : x
  2. Step 2: Convert to fraction form
    251,838/393,075 = 393,075/x
  3. Step 3: Cross multiply
    251,838x = 393,075 × 393,075
  4. Step 4: Simplify right side
    251,838x = 154,507,955,625
  5. Step 5: Solve for x
    x = 154,507,955,625/251,838
  6. Step 6: Final answer
    x = 613,521.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.