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Finding the Third Proportional to 7,206 and 12,981

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Solution

The third proportional to 7,206 and 12,981 is: 23,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206 : 12,981 = 12,981 : x
  2. Step 2: Convert to fraction form
    7,206/12,981 = 12,981/x
  3. Step 3: Cross multiply
    7,206x = 12,981 × 12,981
  4. Step 4: Simplify right side
    7,206x = 168,506,361
  5. Step 5: Solve for x
    x = 168,506,361/7,206
  6. Step 6: Final answer
    x = 23,384.17

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.