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Finding the Third Proportional to 253,209.75 and 400,956

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Solution

The third proportional to 253,209.75 and 400,956 is: 634,911.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,209.75 : 400,956 = 400,956 : x
  2. Step 2: Convert to fraction form
    253,209.75/400,956 = 400,956/x
  3. Step 3: Cross multiply
    253,209.75x = 400,956 × 400,956
  4. Step 4: Simplify right side
    253,209.75x = 160,765,713,936
  5. Step 5: Solve for x
    x = 160,765,713,936/253,209.75
  6. Step 6: Final answer
    x = 634,911.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.