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Finding the Third Proportional to 84,912 and 178,086

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Solution

The third proportional to 84,912 and 178,086 is: 373,499.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,912 : 178,086 = 178,086 : x
  2. Step 2: Convert to fraction form
    84,912/178,086 = 178,086/x
  3. Step 3: Cross multiply
    84,912x = 178,086 × 178,086
  4. Step 4: Simplify right side
    84,912x = 31,714,623,396
  5. Step 5: Solve for x
    x = 31,714,623,396/84,912
  6. Step 6: Final answer
    x = 373,499.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.