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Finding the Third Proportional to 12,291.75 and 19,491.75

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Solution

The third proportional to 12,291.75 and 19,491.75 is: 30,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,291.75 : 19,491.75 = 19,491.75 : x
  2. Step 2: Convert to fraction form
    12,291.75/19,491.75 = 19,491.75/x
  3. Step 3: Cross multiply
    12,291.75x = 19,491.75 × 19,491.75
  4. Step 4: Simplify right side
    12,291.75x = 379,928,318.06
  5. Step 5: Solve for x
    x = 379,928,318.06/12,291.75
  6. Step 6: Final answer
    x = 30,909.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.