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Finding the Third Proportional to 12,907.69 and 14,122.69

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Solution

The third proportional to 12,907.69 and 14,122.69 is: 15,452.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.69 : 14,122.69 = 14,122.69 : x
  2. Step 2: Convert to fraction form
    12,907.69/14,122.69 = 14,122.69/x
  3. Step 3: Cross multiply
    12,907.69x = 14,122.69 × 14,122.69
  4. Step 4: Simplify right side
    12,907.69x = 199,450,302.22
  5. Step 5: Solve for x
    x = 199,450,302.22/12,907.69
  6. Step 6: Final answer
    x = 15,452.06

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.