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Finding the Third Proportional to 53,901 and 115,909

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Solution

The third proportional to 53,901 and 115,909 is: 249,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,901 : 115,909 = 115,909 : x
  2. Step 2: Convert to fraction form
    53,901/115,909 = 115,909/x
  3. Step 3: Cross multiply
    53,901x = 115,909 × 115,909
  4. Step 4: Simplify right side
    53,901x = 13,434,896,281
  5. Step 5: Solve for x
    x = 13,434,896,281/53,901
  6. Step 6: Final answer
    x = 249,251.34

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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.