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Finding the Third Proportional to 54,768 and 82,032

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Solution

The third proportional to 54,768 and 82,032 is: 122,868.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,768 : 82,032 = 82,032 : x
  2. Step 2: Convert to fraction form
    54,768/82,032 = 82,032/x
  3. Step 3: Cross multiply
    54,768x = 82,032 × 82,032
  4. Step 4: Simplify right side
    54,768x = 6,729,249,024
  5. Step 5: Solve for x
    x = 6,729,249,024/54,768
  6. Step 6: Final answer
    x = 122,868.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.