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Finding the Third Proportional to 1,385.65 and 3,204.51

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Solution

The third proportional to 1,385.65 and 3,204.51 is: 7,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.65 : 3,204.51 = 3,204.51 : x
  2. Step 2: Convert to fraction form
    1,385.65/3,204.51 = 3,204.51/x
  3. Step 3: Cross multiply
    1,385.65x = 3,204.51 × 3,204.51
  4. Step 4: Simplify right side
    1,385.65x = 10,268,882.84
  5. Step 5: Solve for x
    x = 10,268,882.84/1,385.65
  6. Step 6: Final answer
    x = 7,410.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.