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Finding the Third Proportional to 383,618 and 580,758

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Solution

The third proportional to 383,618 and 580,758 is: 879,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,618 : 580,758 = 580,758 : x
  2. Step 2: Convert to fraction form
    383,618/580,758 = 580,758/x
  3. Step 3: Cross multiply
    383,618x = 580,758 × 580,758
  4. Step 4: Simplify right side
    383,618x = 337,279,854,564
  5. Step 5: Solve for x
    x = 337,279,854,564/383,618
  6. Step 6: Final answer
    x = 879,207.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.