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Finding the Third Proportional to 19,382 and 42,448

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Solution

The third proportional to 19,382 and 42,448 is: 92,964.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,382 : 42,448 = 42,448 : x
  2. Step 2: Convert to fraction form
    19,382/42,448 = 42,448/x
  3. Step 3: Cross multiply
    19,382x = 42,448 × 42,448
  4. Step 4: Simplify right side
    19,382x = 1,801,832,704
  5. Step 5: Solve for x
    x = 1,801,832,704/19,382
  6. Step 6: Final answer
    x = 92,964.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.