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Finding the Third Proportional to 666.84 and 1,020.80

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Solution

The third proportional to 666.84 and 1,020.80 is: 1,562.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 1,020.80 = 1,020.80 : x
  2. Step 2: Convert to fraction form
    666.84/1,020.80 = 1,020.80/x
  3. Step 3: Cross multiply
    666.84x = 1,020.80 × 1,020.80
  4. Step 4: Simplify right side
    666.84x = 1,042,026.26
  5. Step 5: Solve for x
    x = 1,042,026.26/666.84
  6. Step 6: Final answer
    x = 1,562.62

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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.