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Finding the Third Proportional to 40,442 and 85,072

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Solution

The third proportional to 40,442 and 85,072 is: 178,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,442 : 85,072 = 85,072 : x
  2. Step 2: Convert to fraction form
    40,442/85,072 = 85,072/x
  3. Step 3: Cross multiply
    40,442x = 85,072 × 85,072
  4. Step 4: Simplify right side
    40,442x = 7,237,245,184
  5. Step 5: Solve for x
    x = 7,237,245,184/40,442
  6. Step 6: Final answer
    x = 178,953.69

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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.