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Finding the Third Proportional to 258,358 and 554,087

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Solution

The third proportional to 258,358 and 554,087 is: 1,188,321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,358 : 554,087 = 554,087 : x
  2. Step 2: Convert to fraction form
    258,358/554,087 = 554,087/x
  3. Step 3: Cross multiply
    258,358x = 554,087 × 554,087
  4. Step 4: Simplify right side
    258,358x = 307,012,403,569
  5. Step 5: Solve for x
    x = 307,012,403,569/258,358
  6. Step 6: Final answer
    x = 1,188,321.65

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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.