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Finding the Third Proportional to 851.06 and 1,301.34

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Solution

The third proportional to 851.06 and 1,301.34 is: 1,989.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.06 : 1,301.34 = 1,301.34 : x
  2. Step 2: Convert to fraction form
    851.06/1,301.34 = 1,301.34/x
  3. Step 3: Cross multiply
    851.06x = 1,301.34 × 1,301.34
  4. Step 4: Simplify right side
    851.06x = 1,693,495.56
  5. Step 5: Solve for x
    x = 1,693,495.56/851.06
  6. Step 6: Final answer
    x = 1,989.86

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.