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Finding the Third Proportional to 225,567 and 400,969

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Solution

The third proportional to 225,567 and 400,969 is: 712,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,567 : 400,969 = 400,969 : x
  2. Step 2: Convert to fraction form
    225,567/400,969 = 400,969/x
  3. Step 3: Cross multiply
    225,567x = 400,969 × 400,969
  4. Step 4: Simplify right side
    225,567x = 160,776,138,961
  5. Step 5: Solve for x
    x = 160,776,138,961/225,567
  6. Step 6: Final answer
    x = 712,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.