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Finding the Third Proportional to 358.36 and 785.02

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Solution

The third proportional to 358.36 and 785.02 is: 1,719.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.36 : 785.02 = 785.02 : x
  2. Step 2: Convert to fraction form
    358.36/785.02 = 785.02/x
  3. Step 3: Cross multiply
    358.36x = 785.02 × 785.02
  4. Step 4: Simplify right side
    358.36x = 616,249.53
  5. Step 5: Solve for x
    x = 616,249.53/358.36
  6. Step 6: Final answer
    x = 1,719.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.