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Finding the Third Proportional to 5,638,438 and 8,589,841

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Solution

The third proportional to 5,638,438 and 8,589,841 is: 13,086,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638,438 : 8,589,841 = 8,589,841 : x
  2. Step 2: Convert to fraction form
    5,638,438/8,589,841 = 8,589,841/x
  3. Step 3: Cross multiply
    5,638,438x = 8,589,841 × 8,589,841
  4. Step 4: Simplify right side
    5,638,438x = 73,785,368,405,281
  5. Step 5: Solve for x
    x = 73,785,368,405,281/5,638,438
  6. Step 6: Final answer
    x = 13,086,136.34

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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.