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Finding the Third Proportional to 39,846 and 83,772

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Solution

The third proportional to 39,846 and 83,772 is: 176,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,846 : 83,772 = 83,772 : x
  2. Step 2: Convert to fraction form
    39,846/83,772 = 83,772/x
  3. Step 3: Cross multiply
    39,846x = 83,772 × 83,772
  4. Step 4: Simplify right side
    39,846x = 7,017,747,984
  5. Step 5: Solve for x
    x = 7,017,747,984/39,846
  6. Step 6: Final answer
    x = 176,121.77

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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.