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Finding the Third Proportional to 54,415 and 84,083

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Solution

The third proportional to 54,415 and 84,083 is: 129,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,415 : 84,083 = 84,083 : x
  2. Step 2: Convert to fraction form
    54,415/84,083 = 84,083/x
  3. Step 3: Cross multiply
    54,415x = 84,083 × 84,083
  4. Step 4: Simplify right side
    54,415x = 7,069,950,889
  5. Step 5: Solve for x
    x = 7,069,950,889/54,415
  6. Step 6: Final answer
    x = 129,926.51

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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.