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Finding the Third Proportional to 21,820 and 47,503

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Solution

The third proportional to 21,820 and 47,503 is: 103,415.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820 : 47,503 = 47,503 : x
  2. Step 2: Convert to fraction form
    21,820/47,503 = 47,503/x
  3. Step 3: Cross multiply
    21,820x = 47,503 × 47,503
  4. Step 4: Simplify right side
    21,820x = 2,256,535,009
  5. Step 5: Solve for x
    x = 2,256,535,009/21,820
  6. Step 6: Final answer
    x = 103,415.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.