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Finding the Third Proportional to 39,618 and 84,324

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Solution

The third proportional to 39,618 and 84,324 is: 179,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,618 : 84,324 = 84,324 : x
  2. Step 2: Convert to fraction form
    39,618/84,324 = 84,324/x
  3. Step 3: Cross multiply
    39,618x = 84,324 × 84,324
  4. Step 4: Simplify right side
    39,618x = 7,110,536,976
  5. Step 5: Solve for x
    x = 7,110,536,976/39,618
  6. Step 6: Final answer
    x = 179,477.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.