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Finding the Third Proportional to 245,204 and 515,128

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Solution

The third proportional to 245,204 and 515,128 is: 1,082,188.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,204 : 515,128 = 515,128 : x
  2. Step 2: Convert to fraction form
    245,204/515,128 = 515,128/x
  3. Step 3: Cross multiply
    245,204x = 515,128 × 515,128
  4. Step 4: Simplify right side
    245,204x = 265,356,856,384
  5. Step 5: Solve for x
    x = 265,356,856,384/245,204
  6. Step 6: Final answer
    x = 1,082,188.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.