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Finding the Third Proportional to 400,072.50 and 619,062.75

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Solution

The third proportional to 400,072.50 and 619,062.75 is: 957,923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,072.50 : 619,062.75 = 619,062.75 : x
  2. Step 2: Convert to fraction form
    400,072.50/619,062.75 = 619,062.75/x
  3. Step 3: Cross multiply
    400,072.50x = 619,062.75 × 619,062.75
  4. Step 4: Simplify right side
    400,072.50x = 383,238,688,437.56
  5. Step 5: Solve for x
    x = 383,238,688,437.56/400,072.50
  6. Step 6: Final answer
    x = 957,923.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.