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Finding the Third Proportional to 385,267.50 and 511,206.75

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Solution

The third proportional to 385,267.50 and 511,206.75 is: 678,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,267.50 : 511,206.75 = 511,206.75 : x
  2. Step 2: Convert to fraction form
    385,267.50/511,206.75 = 511,206.75/x
  3. Step 3: Cross multiply
    385,267.50x = 511,206.75 × 511,206.75
  4. Step 4: Simplify right side
    385,267.50x = 261,332,341,245.56
  5. Step 5: Solve for x
    x = 261,332,341,245.56/385,267.50
  6. Step 6: Final answer
    x = 678,314.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.