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Finding the Third Proportional to 878.03 and 1,857.62

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Solution

The third proportional to 878.03 and 1,857.62 is: 3,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.03 : 1,857.62 = 1,857.62 : x
  2. Step 2: Convert to fraction form
    878.03/1,857.62 = 1,857.62/x
  3. Step 3: Cross multiply
    878.03x = 1,857.62 × 1,857.62
  4. Step 4: Simplify right side
    878.03x = 3,450,756.13
  5. Step 5: Solve for x
    x = 3,450,756.13/878.03
  6. Step 6: Final answer
    x = 3,930.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.