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Finding the Third Proportional to 40,446 and 85,080

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Solution

The third proportional to 40,446 and 85,080 is: 178,969.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,446 : 85,080 = 85,080 : x
  2. Step 2: Convert to fraction form
    40,446/85,080 = 85,080/x
  3. Step 3: Cross multiply
    40,446x = 85,080 × 85,080
  4. Step 4: Simplify right side
    40,446x = 7,238,606,400
  5. Step 5: Solve for x
    x = 7,238,606,400/40,446
  6. Step 6: Final answer
    x = 178,969.65

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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.