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Finding the Third Proportional to 385,176 and 554,811

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Solution

The third proportional to 385,176 and 554,811 is: 799,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,176 : 554,811 = 554,811 : x
  2. Step 2: Convert to fraction form
    385,176/554,811 = 554,811/x
  3. Step 3: Cross multiply
    385,176x = 554,811 × 554,811
  4. Step 4: Simplify right side
    385,176x = 307,815,245,721
  5. Step 5: Solve for x
    x = 307,815,245,721/385,176
  6. Step 6: Final answer
    x = 799,154.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.