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Finding the Third Proportional to 12,779.50 and 27,809

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Solution

The third proportional to 12,779.50 and 27,809 is: 60,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.50 : 27,809 = 27,809 : x
  2. Step 2: Convert to fraction form
    12,779.50/27,809 = 27,809/x
  3. Step 3: Cross multiply
    12,779.50x = 27,809 × 27,809
  4. Step 4: Simplify right side
    12,779.50x = 773,340,481
  5. Step 5: Solve for x
    x = 773,340,481/12,779.50
  6. Step 6: Final answer
    x = 60,514.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.