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Finding the Third Proportional to 345,138 and 738,256

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Solution

The third proportional to 345,138 and 738,256 is: 1,579,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,138 : 738,256 = 738,256 : x
  2. Step 2: Convert to fraction form
    345,138/738,256 = 738,256/x
  3. Step 3: Cross multiply
    345,138x = 738,256 × 738,256
  4. Step 4: Simplify right side
    345,138x = 545,021,921,536
  5. Step 5: Solve for x
    x = 545,021,921,536/345,138
  6. Step 6: Final answer
    x = 1,579,142.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.