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Finding the Third Proportional to 821.39 and 1,220.06

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Solution

The third proportional to 821.39 and 1,220.06 is: 1,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.39 : 1,220.06 = 1,220.06 : x
  2. Step 2: Convert to fraction form
    821.39/1,220.06 = 1,220.06/x
  3. Step 3: Cross multiply
    821.39x = 1,220.06 × 1,220.06
  4. Step 4: Simplify right side
    821.39x = 1,488,552.50
  5. Step 5: Solve for x
    x = 1,488,552.50/821.39
  6. Step 6: Final answer
    x = 1,812.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.