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Finding the Third Proportional to 257,998.50 and 379,414.13

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Solution

The third proportional to 257,998.50 and 379,414.13 is: 557,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,998.50 : 379,414.13 = 379,414.13 : x
  2. Step 2: Convert to fraction form
    257,998.50/379,414.13 = 379,414.13/x
  3. Step 3: Cross multiply
    257,998.50x = 379,414.13 × 379,414.13
  4. Step 4: Simplify right side
    257,998.50x = 143,955,078,249.52
  5. Step 5: Solve for x
    x = 143,955,078,249.52/257,998.50
  6. Step 6: Final answer
    x = 557,968.66

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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.