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Finding the Third Proportional to 331,142 and 512,627

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Solution

The third proportional to 331,142 and 512,627 is: 793,576.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,142 : 512,627 = 512,627 : x
  2. Step 2: Convert to fraction form
    331,142/512,627 = 512,627/x
  3. Step 3: Cross multiply
    331,142x = 512,627 × 512,627
  4. Step 4: Simplify right side
    331,142x = 262,786,441,129
  5. Step 5: Solve for x
    x = 262,786,441,129/331,142
  6. Step 6: Final answer
    x = 793,576.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.