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Finding the Third Proportional to 54,032 and 86,815

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Solution

The third proportional to 54,032 and 86,815 is: 139,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,032 : 86,815 = 86,815 : x
  2. Step 2: Convert to fraction form
    54,032/86,815 = 86,815/x
  3. Step 3: Cross multiply
    54,032x = 86,815 × 86,815
  4. Step 4: Simplify right side
    54,032x = 7,536,844,225
  5. Step 5: Solve for x
    x = 7,536,844,225/54,032
  6. Step 6: Final answer
    x = 139,488.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.