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Finding the Third Proportional to 819.77 and 1,171.45

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Solution

The third proportional to 819.77 and 1,171.45 is: 1,674.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.77 : 1,171.45 = 1,171.45 : x
  2. Step 2: Convert to fraction form
    819.77/1,171.45 = 1,171.45/x
  3. Step 3: Cross multiply
    819.77x = 1,171.45 × 1,171.45
  4. Step 4: Simplify right side
    819.77x = 1,372,305.86
  5. Step 5: Solve for x
    x = 1,372,305.86/819.77
  6. Step 6: Final answer
    x = 1,674.02

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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.