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Finding the Third Proportional to 811.88 and 1,161.06

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Solution

The third proportional to 811.88 and 1,161.06 is: 1,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.88 : 1,161.06 = 1,161.06 : x
  2. Step 2: Convert to fraction form
    811.88/1,161.06 = 1,161.06/x
  3. Step 3: Cross multiply
    811.88x = 1,161.06 × 1,161.06
  4. Step 4: Simplify right side
    811.88x = 1,348,066.13
  5. Step 5: Solve for x
    x = 1,348,066.13/811.88
  6. Step 6: Final answer
    x = 1,660.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.