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Finding the Third Proportional to 810 and 938.25

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Solution

The third proportional to 810 and 938.25 is: 1,086.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    810 : 938.25 = 938.25 : x
  2. Step 2: Convert to fraction form
    810/938.25 = 938.25/x
  3. Step 3: Cross multiply
    810x = 938.25 × 938.25
  4. Step 4: Simplify right side
    810x = 880,313.06
  5. Step 5: Solve for x
    x = 880,313.06/810
  6. Step 6: Final answer
    x = 1,086.81

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.