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Finding the Third Proportional to 325,402.50 and 666,663

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Solution

The third proportional to 325,402.50 and 666,663 is: 1,365,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,402.50 : 666,663 = 666,663 : x
  2. Step 2: Convert to fraction form
    325,402.50/666,663 = 666,663/x
  3. Step 3: Cross multiply
    325,402.50x = 666,663 × 666,663
  4. Step 4: Simplify right side
    325,402.50x = 444,439,555,569
  5. Step 5: Solve for x
    x = 444,439,555,569/325,402.50
  6. Step 6: Final answer
    x = 1,365,814.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.