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Finding the Third Proportional to 54,623 and 119,128

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Solution

The third proportional to 54,623 and 119,128 is: 259,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,623 : 119,128 = 119,128 : x
  2. Step 2: Convert to fraction form
    54,623/119,128 = 119,128/x
  3. Step 3: Cross multiply
    54,623x = 119,128 × 119,128
  4. Step 4: Simplify right side
    54,623x = 14,191,480,384
  5. Step 5: Solve for x
    x = 14,191,480,384/54,623
  6. Step 6: Final answer
    x = 259,807.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.