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Finding the Third Proportional to 312,710 and 737,429

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Solution

The third proportional to 312,710 and 737,429 is: 1,738,996.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,710 : 737,429 = 737,429 : x
  2. Step 2: Convert to fraction form
    312,710/737,429 = 737,429/x
  3. Step 3: Cross multiply
    312,710x = 737,429 × 737,429
  4. Step 4: Simplify right side
    312,710x = 543,801,530,041
  5. Step 5: Solve for x
    x = 543,801,530,041/312,710
  6. Step 6: Final answer
    x = 1,738,996.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.