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Finding the Third Proportional to 55,782 and 84,982

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Solution

The third proportional to 55,782 and 84,982 is: 129,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,782 : 84,982 = 84,982 : x
  2. Step 2: Convert to fraction form
    55,782/84,982 = 84,982/x
  3. Step 3: Cross multiply
    55,782x = 84,982 × 84,982
  4. Step 4: Simplify right side
    55,782x = 7,221,940,324
  5. Step 5: Solve for x
    x = 7,221,940,324/55,782
  6. Step 6: Final answer
    x = 129,467.22

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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.