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Finding the Third Proportional to 19,431.75 and 51,428.44

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Solution

The third proportional to 19,431.75 and 51,428.44 is: 136,111.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431.75 : 51,428.44 = 51,428.44 : x
  2. Step 2: Convert to fraction form
    19,431.75/51,428.44 = 51,428.44/x
  3. Step 3: Cross multiply
    19,431.75x = 51,428.44 × 51,428.44
  4. Step 4: Simplify right side
    19,431.75x = 2,644,884,183.69
  5. Step 5: Solve for x
    x = 2,644,884,183.69/19,431.75
  6. Step 6: Final answer
    x = 136,111.48

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.