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Finding the Third Proportional to 53,864 and 117,988

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Solution

The third proportional to 53,864 and 117,988 is: 258,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,864 : 117,988 = 117,988 : x
  2. Step 2: Convert to fraction form
    53,864/117,988 = 117,988/x
  3. Step 3: Cross multiply
    53,864x = 117,988 × 117,988
  4. Step 4: Simplify right side
    53,864x = 13,921,168,144
  5. Step 5: Solve for x
    x = 13,921,168,144/53,864
  6. Step 6: Final answer
    x = 258,450.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.