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Finding the Third Proportional to 53,077.50 and 125,120.25

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Solution

The third proportional to 53,077.50 and 125,120.25 is: 294,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,077.50 : 125,120.25 = 125,120.25 : x
  2. Step 2: Convert to fraction form
    53,077.50/125,120.25 = 125,120.25/x
  3. Step 3: Cross multiply
    53,077.50x = 125,120.25 × 125,120.25
  4. Step 4: Simplify right side
    53,077.50x = 15,655,076,960.06
  5. Step 5: Solve for x
    x = 15,655,076,960.06/53,077.50
  6. Step 6: Final answer
    x = 294,947.52

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.