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Finding the Third Proportional to 666.70 and 982.90

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Solution

The third proportional to 666.70 and 982.90 is: 1,449.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.70 : 982.90 = 982.90 : x
  2. Step 2: Convert to fraction form
    666.70/982.90 = 982.90/x
  3. Step 3: Cross multiply
    666.70x = 982.90 × 982.90
  4. Step 4: Simplify right side
    666.70x = 966,089.34
  5. Step 5: Solve for x
    x = 966,089.34/666.70
  6. Step 6: Final answer
    x = 1,449.05

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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.