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Finding the Third Proportional to 55,028 and 119,272

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Solution

The third proportional to 55,028 and 119,272 is: 258,519.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,028 : 119,272 = 119,272 : x
  2. Step 2: Convert to fraction form
    55,028/119,272 = 119,272/x
  3. Step 3: Cross multiply
    55,028x = 119,272 × 119,272
  4. Step 4: Simplify right side
    55,028x = 14,225,809,984
  5. Step 5: Solve for x
    x = 14,225,809,984/55,028
  6. Step 6: Final answer
    x = 258,519.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.