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Finding the Third Proportional to 37,628 and 81,740

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Solution

The third proportional to 37,628 and 81,740 is: 177,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628 : 81,740 = 81,740 : x
  2. Step 2: Convert to fraction form
    37,628/81,740 = 81,740/x
  3. Step 3: Cross multiply
    37,628x = 81,740 × 81,740
  4. Step 4: Simplify right side
    37,628x = 6,681,427,600
  5. Step 5: Solve for x
    x = 6,681,427,600/37,628
  6. Step 6: Final answer
    x = 177,565.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.