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Finding the Third Proportional to 375,211.50 and 820,487

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Solution

The third proportional to 375,211.50 and 820,487 is: 1,794,185.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,211.50 : 820,487 = 820,487 : x
  2. Step 2: Convert to fraction form
    375,211.50/820,487 = 820,487/x
  3. Step 3: Cross multiply
    375,211.50x = 820,487 × 820,487
  4. Step 4: Simplify right side
    375,211.50x = 673,198,917,169
  5. Step 5: Solve for x
    x = 673,198,917,169/375,211.50
  6. Step 6: Final answer
    x = 1,794,185.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.