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Finding the Third Proportional to 339,808 and 738,688

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Solution

The third proportional to 339,808 and 738,688 is: 1,605,789.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,808 : 738,688 = 738,688 : x
  2. Step 2: Convert to fraction form
    339,808/738,688 = 738,688/x
  3. Step 3: Cross multiply
    339,808x = 738,688 × 738,688
  4. Step 4: Simplify right side
    339,808x = 545,659,961,344
  5. Step 5: Solve for x
    x = 545,659,961,344/339,808
  6. Step 6: Final answer
    x = 1,605,789.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.