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Finding the Third Proportional to 364.97 and 784.77

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Solution

The third proportional to 364.97 and 784.77 is: 1,687.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.97 : 784.77 = 784.77 : x
  2. Step 2: Convert to fraction form
    364.97/784.77 = 784.77/x
  3. Step 3: Cross multiply
    364.97x = 784.77 × 784.77
  4. Step 4: Simplify right side
    364.97x = 615,858.62
  5. Step 5: Solve for x
    x = 615,858.62/364.97
  6. Step 6: Final answer
    x = 1,687.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.