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Finding the Third Proportional to 253,314 and 557,188

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Solution

The third proportional to 253,314 and 557,188 is: 1,225,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,314 : 557,188 = 557,188 : x
  2. Step 2: Convert to fraction form
    253,314/557,188 = 557,188/x
  3. Step 3: Cross multiply
    253,314x = 557,188 × 557,188
  4. Step 4: Simplify right side
    253,314x = 310,458,467,344
  5. Step 5: Solve for x
    x = 310,458,467,344/253,314
  6. Step 6: Final answer
    x = 1,225,587.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.