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Finding the Third Proportional to 39,111 and 85,281

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Solution

The third proportional to 39,111 and 85,281 is: 185,954.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,111 : 85,281 = 85,281 : x
  2. Step 2: Convert to fraction form
    39,111/85,281 = 85,281/x
  3. Step 3: Cross multiply
    39,111x = 85,281 × 85,281
  4. Step 4: Simplify right side
    39,111x = 7,272,848,961
  5. Step 5: Solve for x
    x = 7,272,848,961/39,111
  6. Step 6: Final answer
    x = 185,954.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.