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Finding the Third Proportional to 3,531,780 and 7,628,075

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Solution

The third proportional to 3,531,780 and 7,628,075 is: 16,475,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531,780 : 7,628,075 = 7,628,075 : x
  2. Step 2: Convert to fraction form
    3,531,780/7,628,075 = 7,628,075/x
  3. Step 3: Cross multiply
    3,531,780x = 7,628,075 × 7,628,075
  4. Step 4: Simplify right side
    3,531,780x = 58,187,528,205,625
  5. Step 5: Solve for x
    x = 58,187,528,205,625/3,531,780
  6. Step 6: Final answer
    x = 16,475,411.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.