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Finding the Third Proportional to 12,751.45 and 19,811.14

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Solution

The third proportional to 12,751.45 and 19,811.14 is: 30,779.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.45 : 19,811.14 = 19,811.14 : x
  2. Step 2: Convert to fraction form
    12,751.45/19,811.14 = 19,811.14/x
  3. Step 3: Cross multiply
    12,751.45x = 19,811.14 × 19,811.14
  4. Step 4: Simplify right side
    12,751.45x = 392,481,447.64
  5. Step 5: Solve for x
    x = 392,481,447.64/12,751.45
  6. Step 6: Final answer
    x = 30,779.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.