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Finding the Third Proportional to 14,191 and 33,572

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Solution

The third proportional to 14,191 and 33,572 is: 79,422.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,191 : 33,572 = 33,572 : x
  2. Step 2: Convert to fraction form
    14,191/33,572 = 33,572/x
  3. Step 3: Cross multiply
    14,191x = 33,572 × 33,572
  4. Step 4: Simplify right side
    14,191x = 1,127,079,184
  5. Step 5: Solve for x
    x = 1,127,079,184/14,191
  6. Step 6: Final answer
    x = 79,422.11

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.