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Finding the Third Proportional to 258,434 and 547,554

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Solution

The third proportional to 258,434 and 547,554 is: 1,160,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,434 : 547,554 = 547,554 : x
  2. Step 2: Convert to fraction form
    258,434/547,554 = 547,554/x
  3. Step 3: Cross multiply
    258,434x = 547,554 × 547,554
  4. Step 4: Simplify right side
    258,434x = 299,815,382,916
  5. Step 5: Solve for x
    x = 299,815,382,916/258,434
  6. Step 6: Final answer
    x = 1,160,123.60

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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.