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Finding the Third Proportional to 257,584 and 378,926

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Solution

The third proportional to 257,584 and 378,926 is: 557,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,584 : 378,926 = 378,926 : x
  2. Step 2: Convert to fraction form
    257,584/378,926 = 378,926/x
  3. Step 3: Cross multiply
    257,584x = 378,926 × 378,926
  4. Step 4: Simplify right side
    257,584x = 143,584,913,476
  5. Step 5: Solve for x
    x = 143,584,913,476/257,584
  6. Step 6: Final answer
    x = 557,429.47

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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.