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Finding the Third Proportional to 851.34 and 1,838.53

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Solution

The third proportional to 851.34 and 1,838.53 is: 3,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.34 : 1,838.53 = 1,838.53 : x
  2. Step 2: Convert to fraction form
    851.34/1,838.53 = 1,838.53/x
  3. Step 3: Cross multiply
    851.34x = 1,838.53 × 1,838.53
  4. Step 4: Simplify right side
    851.34x = 3,380,197.16
  5. Step 5: Solve for x
    x = 3,380,197.16/851.34
  6. Step 6: Final answer
    x = 3,970.43

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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.