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Finding the Third Proportional to 12,913.88 and 18,928.41

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Solution

The third proportional to 12,913.88 and 18,928.41 is: 27,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.88 : 18,928.41 = 18,928.41 : x
  2. Step 2: Convert to fraction form
    12,913.88/18,928.41 = 18,928.41/x
  3. Step 3: Cross multiply
    12,913.88x = 18,928.41 × 18,928.41
  4. Step 4: Simplify right side
    12,913.88x = 358,284,563.17
  5. Step 5: Solve for x
    x = 358,284,563.17/12,913.88
  6. Step 6: Final answer
    x = 27,744.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.