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Finding the Third Proportional to 38,328 and 83,781

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Solution

The third proportional to 38,328 and 83,781 is: 183,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,328 : 83,781 = 83,781 : x
  2. Step 2: Convert to fraction form
    38,328/83,781 = 83,781/x
  3. Step 3: Cross multiply
    38,328x = 83,781 × 83,781
  4. Step 4: Simplify right side
    38,328x = 7,019,255,961
  5. Step 5: Solve for x
    x = 7,019,255,961/38,328
  6. Step 6: Final answer
    x = 183,136.50

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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.