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Finding the Third Proportional to 1,289,005 and 2,799,692

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Solution

The third proportional to 1,289,005 and 2,799,692 is: 6,080,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,005 : 2,799,692 = 2,799,692 : x
  2. Step 2: Convert to fraction form
    1,289,005/2,799,692 = 2,799,692/x
  3. Step 3: Cross multiply
    1,289,005x = 2,799,692 × 2,799,692
  4. Step 4: Simplify right side
    1,289,005x = 7,838,275,294,864
  5. Step 5: Solve for x
    x = 7,838,275,294,864/1,289,005
  6. Step 6: Final answer
    x = 6,080,872.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.