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Finding the Third Proportional to 258,420 and 548,144

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Solution

The third proportional to 258,420 and 548,144 is: 1,162,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,420 : 548,144 = 548,144 : x
  2. Step 2: Convert to fraction form
    258,420/548,144 = 548,144/x
  3. Step 3: Cross multiply
    258,420x = 548,144 × 548,144
  4. Step 4: Simplify right side
    258,420x = 300,461,844,736
  5. Step 5: Solve for x
    x = 300,461,844,736/258,420
  6. Step 6: Final answer
    x = 1,162,688.05

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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.