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Finding the Third Proportional to 811 and 881.50

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Solution

The third proportional to 811 and 881.50 is: 958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    811 : 881.50 = 881.50 : x
  2. Step 2: Convert to fraction form
    811/881.50 = 881.50/x
  3. Step 3: Cross multiply
    811x = 881.50 × 881.50
  4. Step 4: Simplify right side
    811x = 777,042.25
  5. Step 5: Solve for x
    x = 777,042.25/811
  6. Step 6: Final answer
    x = 958.13

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.