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Finding the Third Proportional to 351,021 and 758,172

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Solution

The third proportional to 351,021 and 758,172 is: 1,637,579.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,021 : 758,172 = 758,172 : x
  2. Step 2: Convert to fraction form
    351,021/758,172 = 758,172/x
  3. Step 3: Cross multiply
    351,021x = 758,172 × 758,172
  4. Step 4: Simplify right side
    351,021x = 574,824,781,584
  5. Step 5: Solve for x
    x = 574,824,781,584/351,021
  6. Step 6: Final answer
    x = 1,637,579.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.