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Finding the Third Proportional to 207,978.75 and 425,814.75

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Solution

The third proportional to 207,978.75 and 425,814.75 is: 871,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,978.75 : 425,814.75 = 425,814.75 : x
  2. Step 2: Convert to fraction form
    207,978.75/425,814.75 = 425,814.75/x
  3. Step 3: Cross multiply
    207,978.75x = 425,814.75 × 425,814.75
  4. Step 4: Simplify right side
    207,978.75x = 181,318,201,317.56
  5. Step 5: Solve for x
    x = 181,318,201,317.56/207,978.75
  6. Step 6: Final answer
    x = 871,811.19

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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.