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Finding the Third Proportional to 53,619 and 115,458

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Solution

The third proportional to 53,619 and 115,458 is: 248,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,619 : 115,458 = 115,458 : x
  2. Step 2: Convert to fraction form
    53,619/115,458 = 115,458/x
  3. Step 3: Cross multiply
    53,619x = 115,458 × 115,458
  4. Step 4: Simplify right side
    53,619x = 13,330,549,764
  5. Step 5: Solve for x
    x = 13,330,549,764/53,619
  6. Step 6: Final answer
    x = 248,616.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.