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Finding the Third Proportional to 257,585 and 378,918

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Solution

The third proportional to 257,585 and 378,918 is: 557,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,585 : 378,918 = 378,918 : x
  2. Step 2: Convert to fraction form
    257,585/378,918 = 378,918/x
  3. Step 3: Cross multiply
    257,585x = 378,918 × 378,918
  4. Step 4: Simplify right side
    257,585x = 143,578,850,724
  5. Step 5: Solve for x
    x = 143,578,850,724/257,585
  6. Step 6: Final answer
    x = 557,403.77

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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.