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Finding the Third Proportional to 38,912 and 85,386

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Solution

The third proportional to 38,912 and 85,386 is: 187,365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,912 : 85,386 = 85,386 : x
  2. Step 2: Convert to fraction form
    38,912/85,386 = 85,386/x
  3. Step 3: Cross multiply
    38,912x = 85,386 × 85,386
  4. Step 4: Simplify right side
    38,912x = 7,290,768,996
  5. Step 5: Solve for x
    x = 7,290,768,996/38,912
  6. Step 6: Final answer
    x = 187,365.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.