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Finding the Third Proportional to 316,436.63 and 682,350.33

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Solution

The third proportional to 316,436.63 and 682,350.33 is: 1,471,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,436.63 : 682,350.33 = 682,350.33 : x
  2. Step 2: Convert to fraction form
    316,436.63/682,350.33 = 682,350.33/x
  3. Step 3: Cross multiply
    316,436.63x = 682,350.33 × 682,350.33
  4. Step 4: Simplify right side
    316,436.63x = 465,601,970,292.30
  5. Step 5: Solve for x
    x = 465,601,970,292.30/316,436.63
  6. Step 6: Final answer
    x = 1,471,390.90

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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.