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Finding the Third Proportional to 78,005 and 168,889

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Solution

The third proportional to 78,005 and 168,889 is: 365,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005 : 168,889 = 168,889 : x
  2. Step 2: Convert to fraction form
    78,005/168,889 = 168,889/x
  3. Step 3: Cross multiply
    78,005x = 168,889 × 168,889
  4. Step 4: Simplify right side
    78,005x = 28,523,494,321
  5. Step 5: Solve for x
    x = 28,523,494,321/78,005
  6. Step 6: Final answer
    x = 365,662.38

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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.