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Finding the Third Proportional to 21,537 and 45,679

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Solution

The third proportional to 21,537 and 45,679 is: 96,883.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537 : 45,679 = 45,679 : x
  2. Step 2: Convert to fraction form
    21,537/45,679 = 45,679/x
  3. Step 3: Cross multiply
    21,537x = 45,679 × 45,679
  4. Step 4: Simplify right side
    21,537x = 2,086,571,041
  5. Step 5: Solve for x
    x = 2,086,571,041/21,537
  6. Step 6: Final answer
    x = 96,883.09

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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.