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Finding the Third Proportional to 258,366 and 554,102

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Solution

The third proportional to 258,366 and 554,102 is: 1,188,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,366 : 554,102 = 554,102 : x
  2. Step 2: Convert to fraction form
    258,366/554,102 = 554,102/x
  3. Step 3: Cross multiply
    258,366x = 554,102 × 554,102
  4. Step 4: Simplify right side
    258,366x = 307,029,026,404
  5. Step 5: Solve for x
    x = 307,029,026,404/258,366
  6. Step 6: Final answer
    x = 1,188,349.19

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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.