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Finding the Third Proportional to 685.34 and 1,484.58

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Solution

The third proportional to 685.34 and 1,484.58 is: 3,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.34 : 1,484.58 = 1,484.58 : x
  2. Step 2: Convert to fraction form
    685.34/1,484.58 = 1,484.58/x
  3. Step 3: Cross multiply
    685.34x = 1,484.58 × 1,484.58
  4. Step 4: Simplify right side
    685.34x = 2,203,972.21
  5. Step 5: Solve for x
    x = 2,203,972.21/685.34
  6. Step 6: Final answer
    x = 3,215.90

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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.