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Finding the Third Proportional to 869.77 and 1,921.78

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Solution

The third proportional to 869.77 and 1,921.78 is: 4,246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.77 : 1,921.78 = 1,921.78 : x
  2. Step 2: Convert to fraction form
    869.77/1,921.78 = 1,921.78/x
  3. Step 3: Cross multiply
    869.77x = 1,921.78 × 1,921.78
  4. Step 4: Simplify right side
    869.77x = 3,693,243.17
  5. Step 5: Solve for x
    x = 3,693,243.17/869.77
  6. Step 6: Final answer
    x = 4,246.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.