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Finding the Third Proportional to 8,310 and 12,779

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Solution

The third proportional to 8,310 and 12,779 is: 19,651.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310 : 12,779 = 12,779 : x
  2. Step 2: Convert to fraction form
    8,310/12,779 = 12,779/x
  3. Step 3: Cross multiply
    8,310x = 12,779 × 12,779
  4. Step 4: Simplify right side
    8,310x = 163,302,841
  5. Step 5: Solve for x
    x = 163,302,841/8,310
  6. Step 6: Final answer
    x = 19,651.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.