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Finding the Third Proportional to 21,572 and 44,520

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Solution

The third proportional to 21,572 and 44,520 is: 91,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,572 : 44,520 = 44,520 : x
  2. Step 2: Convert to fraction form
    21,572/44,520 = 44,520/x
  3. Step 3: Cross multiply
    21,572x = 44,520 × 44,520
  4. Step 4: Simplify right side
    21,572x = 1,982,030,400
  5. Step 5: Solve for x
    x = 1,982,030,400/21,572
  6. Step 6: Final answer
    x = 91,879.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.