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Finding the Third Proportional to 7,972 and 13,020

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Solution

The third proportional to 7,972 and 13,020 is: 21,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972 : 13,020 = 13,020 : x
  2. Step 2: Convert to fraction form
    7,972/13,020 = 13,020/x
  3. Step 3: Cross multiply
    7,972x = 13,020 × 13,020
  4. Step 4: Simplify right side
    7,972x = 169,520,400
  5. Step 5: Solve for x
    x = 169,520,400/7,972
  6. Step 6: Final answer
    x = 21,264.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.