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Finding the Third Proportional to 1,272,498 and 2,768,907

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Solution

The third proportional to 1,272,498 and 2,768,907 is: 6,025,035.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272,498 : 2,768,907 = 2,768,907 : x
  2. Step 2: Convert to fraction form
    1,272,498/2,768,907 = 2,768,907/x
  3. Step 3: Cross multiply
    1,272,498x = 2,768,907 × 2,768,907
  4. Step 4: Simplify right side
    1,272,498x = 7,666,845,974,649
  5. Step 5: Solve for x
    x = 7,666,845,974,649/1,272,498
  6. Step 6: Final answer
    x = 6,025,035.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.