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Finding the Third Proportional to 12,916.97 and 20,656.90

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Solution

The third proportional to 12,916.97 and 20,656.90 is: 33,034.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,916.97 : 20,656.90 = 20,656.90 : x
  2. Step 2: Convert to fraction form
    12,916.97/20,656.90 = 20,656.90/x
  3. Step 3: Cross multiply
    12,916.97x = 20,656.90 × 20,656.90
  4. Step 4: Simplify right side
    12,916.97x = 426,707,453.06
  5. Step 5: Solve for x
    x = 426,707,453.06/12,916.97
  6. Step 6: Final answer
    x = 33,034.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.