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Finding the Third Proportional to 264,531 and 378,131

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Solution

The third proportional to 264,531 and 378,131 is: 540,515.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,531 : 378,131 = 378,131 : x
  2. Step 2: Convert to fraction form
    264,531/378,131 = 378,131/x
  3. Step 3: Cross multiply
    264,531x = 378,131 × 378,131
  4. Step 4: Simplify right side
    264,531x = 142,983,053,161
  5. Step 5: Solve for x
    x = 142,983,053,161/264,531
  6. Step 6: Final answer
    x = 540,515.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.