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Finding the Third Proportional to 339,470 and 744,172

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Solution

The third proportional to 339,470 and 744,172 is: 1,631,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,470 : 744,172 = 744,172 : x
  2. Step 2: Convert to fraction form
    339,470/744,172 = 744,172/x
  3. Step 3: Cross multiply
    339,470x = 744,172 × 744,172
  4. Step 4: Simplify right side
    339,470x = 553,791,965,584
  5. Step 5: Solve for x
    x = 553,791,965,584/339,470
  6. Step 6: Final answer
    x = 1,631,342.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.