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Finding the Third Proportional to 2,143.50 and 4,569.75

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Solution

The third proportional to 2,143.50 and 4,569.75 is: 9,742.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.50 : 4,569.75 = 4,569.75 : x
  2. Step 2: Convert to fraction form
    2,143.50/4,569.75 = 4,569.75/x
  3. Step 3: Cross multiply
    2,143.50x = 4,569.75 × 4,569.75
  4. Step 4: Simplify right side
    2,143.50x = 20,882,615.06
  5. Step 5: Solve for x
    x = 20,882,615.06/2,143.50
  6. Step 6: Final answer
    x = 9,742.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.