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Finding the Third Proportional to 38,878 and 83,417

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Solution

The third proportional to 38,878 and 83,417 is: 178,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,878 : 83,417 = 83,417 : x
  2. Step 2: Convert to fraction form
    38,878/83,417 = 83,417/x
  3. Step 3: Cross multiply
    38,878x = 83,417 × 83,417
  4. Step 4: Simplify right side
    38,878x = 6,958,395,889
  5. Step 5: Solve for x
    x = 6,958,395,889/38,878
  6. Step 6: Final answer
    x = 178,980.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.