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Finding the Third Proportional to 37,746 and 82,044

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Solution

The third proportional to 37,746 and 82,044 is: 178,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,746 : 82,044 = 82,044 : x
  2. Step 2: Convert to fraction form
    37,746/82,044 = 82,044/x
  3. Step 3: Cross multiply
    37,746x = 82,044 × 82,044
  4. Step 4: Simplify right side
    37,746x = 6,731,217,936
  5. Step 5: Solve for x
    x = 6,731,217,936/37,746
  6. Step 6: Final answer
    x = 178,329.30

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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.