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Finding the Third Proportional to 13,979 and 20,572

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Solution

The third proportional to 13,979 and 20,572 is: 30,274.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,979 : 20,572 = 20,572 : x
  2. Step 2: Convert to fraction form
    13,979/20,572 = 20,572/x
  3. Step 3: Cross multiply
    13,979x = 20,572 × 20,572
  4. Step 4: Simplify right side
    13,979x = 423,207,184
  5. Step 5: Solve for x
    x = 423,207,184/13,979
  6. Step 6: Final answer
    x = 30,274.50

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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.