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Finding the Third Proportional to 257,916 and 547,152

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Solution

The third proportional to 257,916 and 547,152 is: 1,160,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,916 : 547,152 = 547,152 : x
  2. Step 2: Convert to fraction form
    257,916/547,152 = 547,152/x
  3. Step 3: Cross multiply
    257,916x = 547,152 × 547,152
  4. Step 4: Simplify right side
    257,916x = 299,375,311,104
  5. Step 5: Solve for x
    x = 299,375,311,104/257,916
  6. Step 6: Final answer
    x = 1,160,747.34

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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.