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Finding the Third Proportional to 25,438 and 40,173

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Solution

The third proportional to 25,438 and 40,173 is: 63,443.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 40,173 = 40,173 : x
  2. Step 2: Convert to fraction form
    25,438/40,173 = 40,173/x
  3. Step 3: Cross multiply
    25,438x = 40,173 × 40,173
  4. Step 4: Simplify right side
    25,438x = 1,613,869,929
  5. Step 5: Solve for x
    x = 1,613,869,929/25,438
  6. Step 6: Final answer
    x = 63,443.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.