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Finding the Third Proportional to 19,921 and 43,465

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Solution

The third proportional to 19,921 and 43,465 is: 94,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,921 : 43,465 = 43,465 : x
  2. Step 2: Convert to fraction form
    19,921/43,465 = 43,465/x
  3. Step 3: Cross multiply
    19,921x = 43,465 × 43,465
  4. Step 4: Simplify right side
    19,921x = 1,889,206,225
  5. Step 5: Solve for x
    x = 1,889,206,225/19,921
  6. Step 6: Final answer
    x = 94,834.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.