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Finding the Third Proportional to 821.81 and 1,802.67

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Solution

The third proportional to 821.81 and 1,802.67 is: 3,954.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.81 : 1,802.67 = 1,802.67 : x
  2. Step 2: Convert to fraction form
    821.81/1,802.67 = 1,802.67/x
  3. Step 3: Cross multiply
    821.81x = 1,802.67 × 1,802.67
  4. Step 4: Simplify right side
    821.81x = 3,249,625.89
  5. Step 5: Solve for x
    x = 3,249,625.89/821.81
  6. Step 6: Final answer
    x = 3,954.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.