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Finding the Third Proportional to 320,990.34 and 759,106.69

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Solution

The third proportional to 320,990.34 and 759,106.69 is: 1,795,203.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,990.34 : 759,106.69 = 759,106.69 : x
  2. Step 2: Convert to fraction form
    320,990.34/759,106.69 = 759,106.69/x
  3. Step 3: Cross multiply
    320,990.34x = 759,106.69 × 759,106.69
  4. Step 4: Simplify right side
    320,990.34x = 576,242,963,007.22
  5. Step 5: Solve for x
    x = 576,242,963,007.22/320,990.34
  6. Step 6: Final answer
    x = 1,795,203.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.