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Finding the Third Proportional to 21,439 and 44,495

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Solution

The third proportional to 21,439 and 44,495 is: 92,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,439 : 44,495 = 44,495 : x
  2. Step 2: Convert to fraction form
    21,439/44,495 = 44,495/x
  3. Step 3: Cross multiply
    21,439x = 44,495 × 44,495
  4. Step 4: Simplify right side
    21,439x = 1,979,805,025
  5. Step 5: Solve for x
    x = 1,979,805,025/21,439
  6. Step 6: Final answer
    x = 92,345.96

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.