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Finding the Third Proportional to 5,215,635 and 7,978,466.25

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Solution

The third proportional to 5,215,635 and 7,978,466.25 is: 12,204,827.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215,635 : 7,978,466.25 = 7,978,466.25 : x
  2. Step 2: Convert to fraction form
    5,215,635/7,978,466.25 = 7,978,466.25/x
  3. Step 3: Cross multiply
    5,215,635x = 7,978,466.25 × 7,978,466.25
  4. Step 4: Simplify right side
    5,215,635x = 63,655,923,702,389.06
  5. Step 5: Solve for x
    x = 63,655,923,702,389.06/5,215,635
  6. Step 6: Final answer
    x = 12,204,827.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.