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Finding the Third Proportional to 321,549.75 and 685,799.16

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Solution

The third proportional to 321,549.75 and 685,799.16 is: 1,462,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,549.75 : 685,799.16 = 685,799.16 : x
  2. Step 2: Convert to fraction form
    321,549.75/685,799.16 = 685,799.16/x
  3. Step 3: Cross multiply
    321,549.75x = 685,799.16 × 685,799.16
  4. Step 4: Simplify right side
    321,549.75x = 470,320,482,713.21
  5. Step 5: Solve for x
    x = 470,320,482,713.21/321,549.75
  6. Step 6: Final answer
    x = 1,462,667.85

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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.