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Finding the Third Proportional to 5,638,431 and 8,589,831

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Solution

The third proportional to 5,638,431 and 8,589,831 is: 13,086,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638,431 : 8,589,831 = 8,589,831 : x
  2. Step 2: Convert to fraction form
    5,638,431/8,589,831 = 8,589,831/x
  3. Step 3: Cross multiply
    5,638,431x = 8,589,831 × 8,589,831
  4. Step 4: Simplify right side
    5,638,431x = 73,785,196,608,561
  5. Step 5: Solve for x
    x = 73,785,196,608,561/5,638,431
  6. Step 6: Final answer
    x = 13,086,122.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.