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Finding the Third Proportional to 258,708 and 548,721

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Solution

The third proportional to 258,708 and 548,721 is: 1,163,840.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,708 : 548,721 = 548,721 : x
  2. Step 2: Convert to fraction form
    258,708/548,721 = 548,721/x
  3. Step 3: Cross multiply
    258,708x = 548,721 × 548,721
  4. Step 4: Simplify right side
    258,708x = 301,094,735,841
  5. Step 5: Solve for x
    x = 301,094,735,841/258,708
  6. Step 6: Final answer
    x = 1,163,840.07

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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.