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Finding the Third Proportional to 666.77 and 983.04

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Solution

The third proportional to 666.77 and 983.04 is: 1,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.77 : 983.04 = 983.04 : x
  2. Step 2: Convert to fraction form
    666.77/983.04 = 983.04/x
  3. Step 3: Cross multiply
    666.77x = 983.04 × 983.04
  4. Step 4: Simplify right side
    666.77x = 966,365.80
  5. Step 5: Solve for x
    x = 966,365.80/666.77
  6. Step 6: Final answer
    x = 1,449.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.