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Finding the Third Proportional to 1,020.66 and 1,372.92

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Solution

The third proportional to 1,020.66 and 1,372.92 is: 1,846.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.66 : 1,372.92 = 1,372.92 : x
  2. Step 2: Convert to fraction form
    1,020.66/1,372.92 = 1,372.92/x
  3. Step 3: Cross multiply
    1,020.66x = 1,372.92 × 1,372.92
  4. Step 4: Simplify right side
    1,020.66x = 1,884,914.47
  5. Step 5: Solve for x
    x = 1,884,914.47/1,020.66
  6. Step 6: Final answer
    x = 1,846.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.