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Finding the Third Proportional to 1,945,075 and 3,125,216

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Solution

The third proportional to 1,945,075 and 3,125,216 is: 5,021,387.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,075 : 3,125,216 = 3,125,216 : x
  2. Step 2: Convert to fraction form
    1,945,075/3,125,216 = 3,125,216/x
  3. Step 3: Cross multiply
    1,945,075x = 3,125,216 × 3,125,216
  4. Step 4: Simplify right side
    1,945,075x = 9,766,975,046,656
  5. Step 5: Solve for x
    x = 9,766,975,046,656/1,945,075
  6. Step 6: Final answer
    x = 5,021,387.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.