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Finding the Third Proportional to 54,176 and 83,721

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Solution

The third proportional to 54,176 and 83,721 is: 129,378.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,176 : 83,721 = 83,721 : x
  2. Step 2: Convert to fraction form
    54,176/83,721 = 83,721/x
  3. Step 3: Cross multiply
    54,176x = 83,721 × 83,721
  4. Step 4: Simplify right side
    54,176x = 7,009,205,841
  5. Step 5: Solve for x
    x = 7,009,205,841/54,176
  6. Step 6: Final answer
    x = 129,378.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.