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Finding the Third Proportional to 668,866 and 1,428,444

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Solution

The third proportional to 668,866 and 1,428,444 is: 3,050,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,866 : 1,428,444 = 1,428,444 : x
  2. Step 2: Convert to fraction form
    668,866/1,428,444 = 1,428,444/x
  3. Step 3: Cross multiply
    668,866x = 1,428,444 × 1,428,444
  4. Step 4: Simplify right side
    668,866x = 2,040,452,261,136
  5. Step 5: Solve for x
    x = 2,040,452,261,136/668,866
  6. Step 6: Final answer
    x = 3,050,614.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.