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Finding the Third Proportional to 869.63 and 2,143.69

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Solution

The third proportional to 869.63 and 2,143.69 is: 5,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.63 : 2,143.69 = 2,143.69 : x
  2. Step 2: Convert to fraction form
    869.63/2,143.69 = 2,143.69/x
  3. Step 3: Cross multiply
    869.63x = 2,143.69 × 2,143.69
  4. Step 4: Simplify right side
    869.63x = 4,595,396.10
  5. Step 5: Solve for x
    x = 4,595,396.10/869.63
  6. Step 6: Final answer
    x = 5,284.34

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.