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Finding the Third Proportional to 1,270,856 and 2,629,840

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Solution

The third proportional to 1,270,856 and 2,629,840 is: 5,442,047.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270,856 : 2,629,840 = 2,629,840 : x
  2. Step 2: Convert to fraction form
    1,270,856/2,629,840 = 2,629,840/x
  3. Step 3: Cross multiply
    1,270,856x = 2,629,840 × 2,629,840
  4. Step 4: Simplify right side
    1,270,856x = 6,916,058,425,600
  5. Step 5: Solve for x
    x = 6,916,058,425,600/1,270,856
  6. Step 6: Final answer
    x = 5,442,047.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.