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Finding the Third Proportional to 5,181,431.50 and 8,127,123

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Solution

The third proportional to 5,181,431.50 and 8,127,123 is: 12,747,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181,431.50 : 8,127,123 = 8,127,123 : x
  2. Step 2: Convert to fraction form
    5,181,431.50/8,127,123 = 8,127,123/x
  3. Step 3: Cross multiply
    5,181,431.50x = 8,127,123 × 8,127,123
  4. Step 4: Simplify right side
    5,181,431.50x = 66,050,128,257,129
  5. Step 5: Solve for x
    x = 66,050,128,257,129/5,181,431.50
  6. Step 6: Final answer
    x = 12,747,467.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.