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Finding the Third Proportional to 756,367.88 and 1,638,741.38

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Solution

The third proportional to 756,367.88 and 1,638,741.38 is: 3,550,485.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,367.88 : 1,638,741.38 = 1,638,741.38 : x
  2. Step 2: Convert to fraction form
    756,367.88/1,638,741.38 = 1,638,741.38/x
  3. Step 3: Cross multiply
    756,367.88x = 1,638,741.38 × 1,638,741.38
  4. Step 4: Simplify right side
    756,367.88x = 2,685,473,294,136.89
  5. Step 5: Solve for x
    x = 2,685,473,294,136.89/756,367.88
  6. Step 6: Final answer
    x = 3,550,485.66

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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.