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Finding the Third Proportional to 379,216.69 and 819,168.19

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Solution

The third proportional to 379,216.69 and 819,168.19 is: 1,769,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,216.69 : 819,168.19 = 819,168.19 : x
  2. Step 2: Convert to fraction form
    379,216.69/819,168.19 = 819,168.19/x
  3. Step 3: Cross multiply
    379,216.69x = 819,168.19 × 819,168.19
  4. Step 4: Simplify right side
    379,216.69x = 671,036,519,412.04
  5. Step 5: Solve for x
    x = 671,036,519,412.04/379,216.69
  6. Step 6: Final answer
    x = 1,769,533.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.