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Finding the Third Proportional to 21,386 and 44,716

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Solution

The third proportional to 21,386 and 44,716 is: 93,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386 : 44,716 = 44,716 : x
  2. Step 2: Convert to fraction form
    21,386/44,716 = 44,716/x
  3. Step 3: Cross multiply
    21,386x = 44,716 × 44,716
  4. Step 4: Simplify right side
    21,386x = 1,999,520,656
  5. Step 5: Solve for x
    x = 1,999,520,656/21,386
  6. Step 6: Final answer
    x = 93,496.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.