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Finding the Third Proportional to 780,240 and 1,676,874

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Solution

The third proportional to 780,240 and 1,676,874 is: 3,603,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,240 : 1,676,874 = 1,676,874 : x
  2. Step 2: Convert to fraction form
    780,240/1,676,874 = 1,676,874/x
  3. Step 3: Cross multiply
    780,240x = 1,676,874 × 1,676,874
  4. Step 4: Simplify right side
    780,240x = 2,811,906,411,876
  5. Step 5: Solve for x
    x = 2,811,906,411,876/780,240
  6. Step 6: Final answer
    x = 3,603,899.33

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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.