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Finding the Third Proportional to 878.16 and 1,918.22

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Solution

The third proportional to 878.16 and 1,918.22 is: 4,190.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.16 : 1,918.22 = 1,918.22 : x
  2. Step 2: Convert to fraction form
    878.16/1,918.22 = 1,918.22/x
  3. Step 3: Cross multiply
    878.16x = 1,918.22 × 1,918.22
  4. Step 4: Simplify right side
    878.16x = 3,679,563.17
  5. Step 5: Solve for x
    x = 3,679,563.17/878.16
  6. Step 6: Final answer
    x = 4,190.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.