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Finding the Third Proportional to 11,206 and 12,970

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Solution

The third proportional to 11,206 and 12,970 is: 15,011.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206 : 12,970 = 12,970 : x
  2. Step 2: Convert to fraction form
    11,206/12,970 = 12,970/x
  3. Step 3: Cross multiply
    11,206x = 12,970 × 12,970
  4. Step 4: Simplify right side
    11,206x = 168,220,900
  5. Step 5: Solve for x
    x = 168,220,900/11,206
  6. Step 6: Final answer
    x = 15,011.68

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.