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Finding the Third Proportional to 820.81 and 1,756.81

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Solution

The third proportional to 820.81 and 1,756.81 is: 3,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.81 : 1,756.81 = 1,756.81 : x
  2. Step 2: Convert to fraction form
    820.81/1,756.81 = 1,756.81/x
  3. Step 3: Cross multiply
    820.81x = 1,756.81 × 1,756.81
  4. Step 4: Simplify right side
    820.81x = 3,086,390.16
  5. Step 5: Solve for x
    x = 3,086,390.16/820.81
  6. Step 6: Final answer
    x = 3,760.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.