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Finding the Third Proportional to 253,459.13 and 394,728.19

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Solution

The third proportional to 253,459.13 and 394,728.19 is: 614,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,459.13 : 394,728.19 = 394,728.19 : x
  2. Step 2: Convert to fraction form
    253,459.13/394,728.19 = 394,728.19/x
  3. Step 3: Cross multiply
    253,459.13x = 394,728.19 × 394,728.19
  4. Step 4: Simplify right side
    253,459.13x = 155,810,342,007.04
  5. Step 5: Solve for x
    x = 155,810,342,007.04/253,459.13
  6. Step 6: Final answer
    x = 614,735.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.