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Finding the Third Proportional to 10,812.75 and 13,815.75

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Solution

The third proportional to 10,812.75 and 13,815.75 is: 17,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.75 : 13,815.75 = 13,815.75 : x
  2. Step 2: Convert to fraction form
    10,812.75/13,815.75 = 13,815.75/x
  3. Step 3: Cross multiply
    10,812.75x = 13,815.75 × 13,815.75
  4. Step 4: Simplify right side
    10,812.75x = 190,874,948.06
  5. Step 5: Solve for x
    x = 190,874,948.06/10,812.75
  6. Step 6: Final answer
    x = 17,652.77

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.