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Finding the Third Proportional to 53,709 and 115,190

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Solution

The third proportional to 53,709 and 115,190 is: 247,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709 : 115,190 = 115,190 : x
  2. Step 2: Convert to fraction form
    53,709/115,190 = 115,190/x
  3. Step 3: Cross multiply
    53,709x = 115,190 × 115,190
  4. Step 4: Simplify right side
    53,709x = 13,268,736,100
  5. Step 5: Solve for x
    x = 13,268,736,100/53,709
  6. Step 6: Final answer
    x = 247,048.65

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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.