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Finding the Third Proportional to 18,710 and 21,809

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Solution

The third proportional to 18,710 and 21,809 is: 25,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,710 : 21,809 = 21,809 : x
  2. Step 2: Convert to fraction form
    18,710/21,809 = 21,809/x
  3. Step 3: Cross multiply
    18,710x = 21,809 × 21,809
  4. Step 4: Simplify right side
    18,710x = 475,632,481
  5. Step 5: Solve for x
    x = 475,632,481/18,710
  6. Step 6: Final answer
    x = 25,421.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.