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Finding the Third Proportional to 422,887.50 and 618,455.25

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Solution

The third proportional to 422,887.50 and 618,455.25 is: 904,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,887.50 : 618,455.25 = 618,455.25 : x
  2. Step 2: Convert to fraction form
    422,887.50/618,455.25 = 618,455.25/x
  3. Step 3: Cross multiply
    422,887.50x = 618,455.25 × 618,455.25
  4. Step 4: Simplify right side
    422,887.50x = 382,486,896,252.56
  5. Step 5: Solve for x
    x = 382,486,896,252.56/422,887.50
  6. Step 6: Final answer
    x = 904,464.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.