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Finding the Third Proportional to 264,529 and 378,128

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Solution

The third proportional to 264,529 and 378,128 is: 540,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,529 : 378,128 = 378,128 : x
  2. Step 2: Convert to fraction form
    264,529/378,128 = 378,128/x
  3. Step 3: Cross multiply
    264,529x = 378,128 × 378,128
  4. Step 4: Simplify right side
    264,529x = 142,980,784,384
  5. Step 5: Solve for x
    x = 142,980,784,384/264,529
  6. Step 6: Final answer
    x = 540,510.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.