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Finding the Third Proportional to 39,938 and 43,778

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Solution

The third proportional to 39,938 and 43,778 is: 47,987.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,938 : 43,778 = 43,778 : x
  2. Step 2: Convert to fraction form
    39,938/43,778 = 43,778/x
  3. Step 3: Cross multiply
    39,938x = 43,778 × 43,778
  4. Step 4: Simplify right side
    39,938x = 1,916,513,284
  5. Step 5: Solve for x
    x = 1,916,513,284/39,938
  6. Step 6: Final answer
    x = 47,987.21

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.