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Finding the Third Proportional to 40,116 and 84,372

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Solution

The third proportional to 40,116 and 84,372 is: 177,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,116 : 84,372 = 84,372 : x
  2. Step 2: Convert to fraction form
    40,116/84,372 = 84,372/x
  3. Step 3: Cross multiply
    40,116x = 84,372 × 84,372
  4. Step 4: Simplify right side
    40,116x = 7,118,634,384
  5. Step 5: Solve for x
    x = 7,118,634,384/40,116
  6. Step 6: Final answer
    x = 177,451.25

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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.