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Finding the Third Proportional to 512,126 and 737,735

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Solution

The third proportional to 512,126 and 737,735 is: 1,062,732.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,126 : 737,735 = 737,735 : x
  2. Step 2: Convert to fraction form
    512,126/737,735 = 737,735/x
  3. Step 3: Cross multiply
    512,126x = 737,735 × 737,735
  4. Step 4: Simplify right side
    512,126x = 544,252,930,225
  5. Step 5: Solve for x
    x = 544,252,930,225/512,126
  6. Step 6: Final answer
    x = 1,062,732.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.