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Finding the Third Proportional to 10,202 and 21,619

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Solution

The third proportional to 10,202 and 21,619 is: 45,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,202 : 21,619 = 21,619 : x
  2. Step 2: Convert to fraction form
    10,202/21,619 = 21,619/x
  3. Step 3: Cross multiply
    10,202x = 21,619 × 21,619
  4. Step 4: Simplify right side
    10,202x = 467,381,161
  5. Step 5: Solve for x
    x = 467,381,161/10,202
  6. Step 6: Final answer
    x = 45,812.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.