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Finding the Third Proportional to 12,428.44 and 19,270.41

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Solution

The third proportional to 12,428.44 and 19,270.41 is: 29,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.44 : 19,270.41 = 19,270.41 : x
  2. Step 2: Convert to fraction form
    12,428.44/19,270.41 = 19,270.41/x
  3. Step 3: Cross multiply
    12,428.44x = 19,270.41 × 19,270.41
  4. Step 4: Simplify right side
    12,428.44x = 371,348,557.04
  5. Step 5: Solve for x
    x = 371,348,557.04/12,428.44
  6. Step 6: Final answer
    x = 29,878.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.