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Finding the Third Proportional to 115,755 and 245,721

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Solution

The third proportional to 115,755 and 245,721 is: 521,608.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,755 : 245,721 = 245,721 : x
  2. Step 2: Convert to fraction form
    115,755/245,721 = 245,721/x
  3. Step 3: Cross multiply
    115,755x = 245,721 × 245,721
  4. Step 4: Simplify right side
    115,755x = 60,378,809,841
  5. Step 5: Solve for x
    x = 60,378,809,841/115,755
  6. Step 6: Final answer
    x = 521,608.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.