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Finding the Third Proportional to 983.81 and 1,285.03

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Solution

The third proportional to 983.81 and 1,285.03 is: 1,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.81 : 1,285.03 = 1,285.03 : x
  2. Step 2: Convert to fraction form
    983.81/1,285.03 = 1,285.03/x
  3. Step 3: Cross multiply
    983.81x = 1,285.03 × 1,285.03
  4. Step 4: Simplify right side
    983.81x = 1,651,305.31
  5. Step 5: Solve for x
    x = 1,651,305.31/983.81
  6. Step 6: Final answer
    x = 1,678.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.