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Finding the Third Proportional to 762,021 and 1,638,738

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Solution

The third proportional to 762,021 and 1,638,738 is: 3,524,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,021 : 1,638,738 = 1,638,738 : x
  2. Step 2: Convert to fraction form
    762,021/1,638,738 = 1,638,738/x
  3. Step 3: Cross multiply
    762,021x = 1,638,738 × 1,638,738
  4. Step 4: Simplify right side
    762,021x = 2,685,462,232,644
  5. Step 5: Solve for x
    x = 2,685,462,232,644/762,021
  6. Step 6: Final answer
    x = 3,524,131.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.