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Finding the Third Proportional to 311,853.75 and 445,637.25

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Solution

The third proportional to 311,853.75 and 445,637.25 is: 636,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,853.75 : 445,637.25 = 445,637.25 : x
  2. Step 2: Convert to fraction form
    311,853.75/445,637.25 = 445,637.25/x
  3. Step 3: Cross multiply
    311,853.75x = 445,637.25 × 445,637.25
  4. Step 4: Simplify right side
    311,853.75x = 198,592,558,587.56
  5. Step 5: Solve for x
    x = 198,592,558,587.56/311,853.75
  6. Step 6: Final answer
    x = 636,813.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.