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Finding the Third Proportional to 1,638,769 and 3,342,581

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Solution

The third proportional to 1,638,769 and 3,342,581 is: 6,817,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,769 : 3,342,581 = 3,342,581 : x
  2. Step 2: Convert to fraction form
    1,638,769/3,342,581 = 3,342,581/x
  3. Step 3: Cross multiply
    1,638,769x = 3,342,581 × 3,342,581
  4. Step 4: Simplify right side
    1,638,769x = 11,172,847,741,561
  5. Step 5: Solve for x
    x = 11,172,847,741,561/1,638,769
  6. Step 6: Final answer
    x = 6,817,829.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.