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Finding the Third Proportional to 253,726 and 557,672

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Solution

The third proportional to 253,726 and 557,672 is: 1,225,724.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,726 : 557,672 = 557,672 : x
  2. Step 2: Convert to fraction form
    253,726/557,672 = 557,672/x
  3. Step 3: Cross multiply
    253,726x = 557,672 × 557,672
  4. Step 4: Simplify right side
    253,726x = 310,998,059,584
  5. Step 5: Solve for x
    x = 310,998,059,584/253,726
  6. Step 6: Final answer
    x = 1,225,724.05

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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.