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Finding the Third Proportional to 21,084 and 45,270

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Solution

The third proportional to 21,084 and 45,270 is: 97,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,084 : 45,270 = 45,270 : x
  2. Step 2: Convert to fraction form
    21,084/45,270 = 45,270/x
  3. Step 3: Cross multiply
    21,084x = 45,270 × 45,270
  4. Step 4: Simplify right side
    21,084x = 2,049,372,900
  5. Step 5: Solve for x
    x = 2,049,372,900/21,084
  6. Step 6: Final answer
    x = 97,200.38

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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.