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Finding the Third Proportional to 420.75 and 888.38

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Solution

The third proportional to 420.75 and 888.38 is: 1,875.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.75 : 888.38 = 888.38 : x
  2. Step 2: Convert to fraction form
    420.75/888.38 = 888.38/x
  3. Step 3: Cross multiply
    420.75x = 888.38 × 888.38
  4. Step 4: Simplify right side
    420.75x = 789,210.14
  5. Step 5: Solve for x
    x = 789,210.14/420.75
  6. Step 6: Final answer
    x = 1,875.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.