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Finding the Third Proportional to 425,832 and 638,760

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Solution

The third proportional to 425,832 and 638,760 is: 958,158.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,832 : 638,760 = 638,760 : x
  2. Step 2: Convert to fraction form
    425,832/638,760 = 638,760/x
  3. Step 3: Cross multiply
    425,832x = 638,760 × 638,760
  4. Step 4: Simplify right side
    425,832x = 408,014,337,600
  5. Step 5: Solve for x
    x = 408,014,337,600/425,832
  6. Step 6: Final answer
    x = 958,158.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.