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Finding the Third Proportional to 21,072 and 45,242

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Solution

The third proportional to 21,072 and 45,242 is: 97,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,072 : 45,242 = 45,242 : x
  2. Step 2: Convert to fraction form
    21,072/45,242 = 45,242/x
  3. Step 3: Cross multiply
    21,072x = 45,242 × 45,242
  4. Step 4: Simplify right side
    21,072x = 2,046,838,564
  5. Step 5: Solve for x
    x = 2,046,838,564/21,072
  6. Step 6: Final answer
    x = 97,135.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.