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Finding the Third Proportional to 27,938 and 40,403

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Solution

The third proportional to 27,938 and 40,403 is: 58,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,938 : 40,403 = 40,403 : x
  2. Step 2: Convert to fraction form
    27,938/40,403 = 40,403/x
  3. Step 3: Cross multiply
    27,938x = 40,403 × 40,403
  4. Step 4: Simplify right side
    27,938x = 1,632,402,409
  5. Step 5: Solve for x
    x = 1,632,402,409/27,938
  6. Step 6: Final answer
    x = 58,429.47

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.