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Finding the Third Proportional to 747,722 and 1,621,642

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Solution

The third proportional to 747,722 and 1,621,642 is: 3,516,979.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,722 : 1,621,642 = 1,621,642 : x
  2. Step 2: Convert to fraction form
    747,722/1,621,642 = 1,621,642/x
  3. Step 3: Cross multiply
    747,722x = 1,621,642 × 1,621,642
  4. Step 4: Simplify right side
    747,722x = 2,629,722,776,164
  5. Step 5: Solve for x
    x = 2,629,722,776,164/747,722
  6. Step 6: Final answer
    x = 3,516,979.27

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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.