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Finding the Third Proportional to 54,573 and 118,863

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Solution

The third proportional to 54,573 and 118,863 is: 258,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,573 : 118,863 = 118,863 : x
  2. Step 2: Convert to fraction form
    54,573/118,863 = 118,863/x
  3. Step 3: Cross multiply
    54,573x = 118,863 × 118,863
  4. Step 4: Simplify right side
    54,573x = 14,128,412,769
  5. Step 5: Solve for x
    x = 14,128,412,769/54,573
  6. Step 6: Final answer
    x = 258,890.16

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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.