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Finding the Third Proportional to 313,606.69 and 447,013.69

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Solution

The third proportional to 313,606.69 and 447,013.69 is: 637,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,606.69 : 447,013.69 = 447,013.69 : x
  2. Step 2: Convert to fraction form
    313,606.69/447,013.69 = 447,013.69/x
  3. Step 3: Cross multiply
    313,606.69x = 447,013.69 × 447,013.69
  4. Step 4: Simplify right side
    313,606.69x = 199,821,236,812.35
  5. Step 5: Solve for x
    x = 199,821,236,812.35/313,606.69
  6. Step 6: Final answer
    x = 637,171.48

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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.