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Finding the Third Proportional to 273,057.75 and 427,419.75

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Solution

The third proportional to 273,057.75 and 427,419.75 is: 669,043.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,057.75 : 427,419.75 = 427,419.75 : x
  2. Step 2: Convert to fraction form
    273,057.75/427,419.75 = 427,419.75/x
  3. Step 3: Cross multiply
    273,057.75x = 427,419.75 × 427,419.75
  4. Step 4: Simplify right side
    273,057.75x = 182,687,642,690.06
  5. Step 5: Solve for x
    x = 182,687,642,690.06/273,057.75
  6. Step 6: Final answer
    x = 669,043.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.