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Finding the Third Proportional to 55,505 and 84,648

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Solution

The third proportional to 55,505 and 84,648 is: 129,092.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,505 : 84,648 = 84,648 : x
  2. Step 2: Convert to fraction form
    55,505/84,648 = 84,648/x
  3. Step 3: Cross multiply
    55,505x = 84,648 × 84,648
  4. Step 4: Simplify right side
    55,505x = 7,165,283,904
  5. Step 5: Solve for x
    x = 7,165,283,904/55,505
  6. Step 6: Final answer
    x = 129,092.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.