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Finding the Third Proportional to 666,075 and 1,438,698

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Solution

The third proportional to 666,075 and 1,438,698 is: 3,107,535.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,075 : 1,438,698 = 1,438,698 : x
  2. Step 2: Convert to fraction form
    666,075/1,438,698 = 1,438,698/x
  3. Step 3: Cross multiply
    666,075x = 1,438,698 × 1,438,698
  4. Step 4: Simplify right side
    666,075x = 2,069,851,935,204
  5. Step 5: Solve for x
    x = 2,069,851,935,204/666,075
  6. Step 6: Final answer
    x = 3,107,535.84

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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.