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Finding the Third Proportional to 379,587 and 557,958

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Solution

The third proportional to 379,587 and 557,958 is: 820,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,587 : 557,958 = 557,958 : x
  2. Step 2: Convert to fraction form
    379,587/557,958 = 557,958/x
  3. Step 3: Cross multiply
    379,587x = 557,958 × 557,958
  4. Step 4: Simplify right side
    379,587x = 311,317,129,764
  5. Step 5: Solve for x
    x = 311,317,129,764/379,587
  6. Step 6: Final answer
    x = 820,146.97

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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.