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Finding the Third Proportional to 257,531 and 378,851

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Solution

The third proportional to 257,531 and 378,851 is: 557,323.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,531 : 378,851 = 378,851 : x
  2. Step 2: Convert to fraction form
    257,531/378,851 = 378,851/x
  3. Step 3: Cross multiply
    257,531x = 378,851 × 378,851
  4. Step 4: Simplify right side
    257,531x = 143,528,080,201
  5. Step 5: Solve for x
    x = 143,528,080,201/257,531
  6. Step 6: Final answer
    x = 557,323.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.