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Finding the Third Proportional to 21,503 and 45,616

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Solution

The third proportional to 21,503 and 45,616 is: 96,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503 : 45,616 = 45,616 : x
  2. Step 2: Convert to fraction form
    21,503/45,616 = 45,616/x
  3. Step 3: Cross multiply
    21,503x = 45,616 × 45,616
  4. Step 4: Simplify right side
    21,503x = 2,080,819,456
  5. Step 5: Solve for x
    x = 2,080,819,456/21,503
  6. Step 6: Final answer
    x = 96,768.80

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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.