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Finding the Third Proportional to 57,643 and 125,721

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Solution

The third proportional to 57,643 and 125,721 is: 274,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,643 : 125,721 = 125,721 : x
  2. Step 2: Convert to fraction form
    57,643/125,721 = 125,721/x
  3. Step 3: Cross multiply
    57,643x = 125,721 × 125,721
  4. Step 4: Simplify right side
    57,643x = 15,805,769,841
  5. Step 5: Solve for x
    x = 15,805,769,841/57,643
  6. Step 6: Final answer
    x = 274,201.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.