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Finding the Third Proportional to 829.13 and 1,284.56

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Solution

The third proportional to 829.13 and 1,284.56 is: 1,990.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.13 : 1,284.56 = 1,284.56 : x
  2. Step 2: Convert to fraction form
    829.13/1,284.56 = 1,284.56/x
  3. Step 3: Cross multiply
    829.13x = 1,284.56 × 1,284.56
  4. Step 4: Simplify right side
    829.13x = 1,650,100.82
  5. Step 5: Solve for x
    x = 1,650,100.82/829.13
  6. Step 6: Final answer
    x = 1,990.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.