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Finding the Third Proportional to 53,979.75 and 115,339.50

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Solution

The third proportional to 53,979.75 and 115,339.50 is: 246,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,979.75 : 115,339.50 = 115,339.50 : x
  2. Step 2: Convert to fraction form
    53,979.75/115,339.50 = 115,339.50/x
  3. Step 3: Cross multiply
    53,979.75x = 115,339.50 × 115,339.50
  4. Step 4: Simplify right side
    53,979.75x = 13,303,200,260.25
  5. Step 5: Solve for x
    x = 13,303,200,260.25/53,979.75
  6. Step 6: Final answer
    x = 246,447.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.