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Finding the Third Proportional to 57,872 and 118,816

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Solution

The third proportional to 57,872 and 118,816 is: 243,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,872 : 118,816 = 118,816 : x
  2. Step 2: Convert to fraction form
    57,872/118,816 = 118,816/x
  3. Step 3: Cross multiply
    57,872x = 118,816 × 118,816
  4. Step 4: Simplify right side
    57,872x = 14,117,241,856
  5. Step 5: Solve for x
    x = 14,117,241,856/57,872
  6. Step 6: Final answer
    x = 243,939.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.