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Finding the Third Proportional to 397,176 and 555,588

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Solution

The third proportional to 397,176 and 555,588 is: 777,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,176 : 555,588 = 555,588 : x
  2. Step 2: Convert to fraction form
    397,176/555,588 = 555,588/x
  3. Step 3: Cross multiply
    397,176x = 555,588 × 555,588
  4. Step 4: Simplify right side
    397,176x = 308,678,025,744
  5. Step 5: Solve for x
    x = 308,678,025,744/397,176
  6. Step 6: Final answer
    x = 777,181.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.