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Finding the Third Proportional to 310,857 and 557,751

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Solution

The third proportional to 310,857 and 557,751 is: 1,000,737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,857 : 557,751 = 557,751 : x
  2. Step 2: Convert to fraction form
    310,857/557,751 = 557,751/x
  3. Step 3: Cross multiply
    310,857x = 557,751 × 557,751
  4. Step 4: Simplify right side
    310,857x = 311,086,178,001
  5. Step 5: Solve for x
    x = 311,086,178,001/310,857
  6. Step 6: Final answer
    x = 1,000,737.25

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.