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Finding the Third Proportional to 258,364 and 554,098

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Solution

The third proportional to 258,364 and 554,098 is: 1,188,341.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,364 : 554,098 = 554,098 : x
  2. Step 2: Convert to fraction form
    258,364/554,098 = 554,098/x
  3. Step 3: Cross multiply
    258,364x = 554,098 × 554,098
  4. Step 4: Simplify right side
    258,364x = 307,024,593,604
  5. Step 5: Solve for x
    x = 307,024,593,604/258,364
  6. Step 6: Final answer
    x = 1,188,341.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.