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Finding the Third Proportional to 258,436 and 547,558

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Solution

The third proportional to 258,436 and 547,558 is: 1,160,131.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,436 : 547,558 = 547,558 : x
  2. Step 2: Convert to fraction form
    258,436/547,558 = 547,558/x
  3. Step 3: Cross multiply
    258,436x = 547,558 × 547,558
  4. Step 4: Simplify right side
    258,436x = 299,819,763,364
  5. Step 5: Solve for x
    x = 299,819,763,364/258,436
  6. Step 6: Final answer
    x = 1,160,131.57

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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.