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Finding the Third Proportional to 55,728 and 84,888

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Solution

The third proportional to 55,728 and 84,888 is: 129,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728 : 84,888 = 84,888 : x
  2. Step 2: Convert to fraction form
    55,728/84,888 = 84,888/x
  3. Step 3: Cross multiply
    55,728x = 84,888 × 84,888
  4. Step 4: Simplify right side
    55,728x = 7,205,972,544
  5. Step 5: Solve for x
    x = 7,205,972,544/55,728
  6. Step 6: Final answer
    x = 129,306.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.