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Finding the Third Proportional to 379,763.44 and 807,868.69

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Solution

The third proportional to 379,763.44 and 807,868.69 is: 1,718,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,763.44 : 807,868.69 = 807,868.69 : x
  2. Step 2: Convert to fraction form
    379,763.44/807,868.69 = 807,868.69/x
  3. Step 3: Cross multiply
    379,763.44x = 807,868.69 × 807,868.69
  4. Step 4: Simplify right side
    379,763.44x = 652,651,816,242.97
  5. Step 5: Solve for x
    x = 652,651,816,242.97/379,763.44
  6. Step 6: Final answer
    x = 1,718,574.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.