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Finding the Third Proportional to 685.13 and 1,485.58

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Solution

The third proportional to 685.13 and 1,485.58 is: 3,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.13 : 1,485.58 = 1,485.58 : x
  2. Step 2: Convert to fraction form
    685.13/1,485.58 = 1,485.58/x
  3. Step 3: Cross multiply
    685.13x = 1,485.58 × 1,485.58
  4. Step 4: Simplify right side
    685.13x = 2,206,948.17
  5. Step 5: Solve for x
    x = 2,206,948.17/685.13
  6. Step 6: Final answer
    x = 3,221.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.