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Finding the Third Proportional to 38,588 and 81,913

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Solution

The third proportional to 38,588 and 81,913 is: 173,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,588 : 81,913 = 81,913 : x
  2. Step 2: Convert to fraction form
    38,588/81,913 = 81,913/x
  3. Step 3: Cross multiply
    38,588x = 81,913 × 81,913
  4. Step 4: Simplify right side
    38,588x = 6,709,739,569
  5. Step 5: Solve for x
    x = 6,709,739,569/38,588
  6. Step 6: Final answer
    x = 173,881.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.