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Finding the Third Proportional to 85,851 and 186,480

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Solution

The third proportional to 85,851 and 186,480 is: 405,059.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,851 : 186,480 = 186,480 : x
  2. Step 2: Convert to fraction form
    85,851/186,480 = 186,480/x
  3. Step 3: Cross multiply
    85,851x = 186,480 × 186,480
  4. Step 4: Simplify right side
    85,851x = 34,774,790,400
  5. Step 5: Solve for x
    x = 34,774,790,400/85,851
  6. Step 6: Final answer
    x = 405,059.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.