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Finding the Third Proportional to 345,053 and 754,075

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Solution

The third proportional to 345,053 and 754,075 is: 1,647,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,053 : 754,075 = 754,075 : x
  2. Step 2: Convert to fraction form
    345,053/754,075 = 754,075/x
  3. Step 3: Cross multiply
    345,053x = 754,075 × 754,075
  4. Step 4: Simplify right side
    345,053x = 568,629,105,625
  5. Step 5: Solve for x
    x = 568,629,105,625/345,053
  6. Step 6: Final answer
    x = 1,647,947.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.