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Finding the Third Proportional to 1,691,663 and 3,719,797

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Solution

The third proportional to 1,691,663 and 3,719,797 is: 8,179,459.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,663 : 3,719,797 = 3,719,797 : x
  2. Step 2: Convert to fraction form
    1,691,663/3,719,797 = 3,719,797/x
  3. Step 3: Cross multiply
    1,691,663x = 3,719,797 × 3,719,797
  4. Step 4: Simplify right side
    1,691,663x = 13,836,889,721,209
  5. Step 5: Solve for x
    x = 13,836,889,721,209/1,691,663
  6. Step 6: Final answer
    x = 8,179,459.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.