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Finding the Third Proportional to 358.06 and 785.31

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Solution

The third proportional to 358.06 and 785.31 is: 1,722.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.06 : 785.31 = 785.31 : x
  2. Step 2: Convert to fraction form
    358.06/785.31 = 785.31/x
  3. Step 3: Cross multiply
    358.06x = 785.31 × 785.31
  4. Step 4: Simplify right side
    358.06x = 616,715.72
  5. Step 5: Solve for x
    x = 616,715.72/358.06
  6. Step 6: Final answer
    x = 1,722.37

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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.