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Finding the Third Proportional to 253,898.30 and 394,405.14

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Solution

The third proportional to 253,898.30 and 394,405.14 is: 612,668.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,898.30 : 394,405.14 = 394,405.14 : x
  2. Step 2: Convert to fraction form
    253,898.30/394,405.14 = 394,405.14/x
  3. Step 3: Cross multiply
    253,898.30x = 394,405.14 × 394,405.14
  4. Step 4: Simplify right side
    253,898.30x = 155,555,411,870.14
  5. Step 5: Solve for x
    x = 155,555,411,870.14/253,898.30
  6. Step 6: Final answer
    x = 612,668.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.