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Finding the Third Proportional to 40,079 and 85,717

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Solution

The third proportional to 40,079 and 85,717 is: 183,323.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,079 : 85,717 = 85,717 : x
  2. Step 2: Convert to fraction form
    40,079/85,717 = 85,717/x
  3. Step 3: Cross multiply
    40,079x = 85,717 × 85,717
  4. Step 4: Simplify right side
    40,079x = 7,347,404,089
  5. Step 5: Solve for x
    x = 7,347,404,089/40,079
  6. Step 6: Final answer
    x = 183,323.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.