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Finding the Third Proportional to 40,912 and 84,438

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Solution

The third proportional to 40,912 and 84,438 is: 174,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,912 : 84,438 = 84,438 : x
  2. Step 2: Convert to fraction form
    40,912/84,438 = 84,438/x
  3. Step 3: Cross multiply
    40,912x = 84,438 × 84,438
  4. Step 4: Simplify right side
    40,912x = 7,129,775,844
  5. Step 5: Solve for x
    x = 7,129,775,844/40,912
  6. Step 6: Final answer
    x = 174,271.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.