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Finding the Third Proportional to 358.59 and 785.53

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Solution

The third proportional to 358.59 and 785.53 is: 1,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.59 : 785.53 = 785.53 : x
  2. Step 2: Convert to fraction form
    358.59/785.53 = 785.53/x
  3. Step 3: Cross multiply
    358.59x = 785.53 × 785.53
  4. Step 4: Simplify right side
    358.59x = 617,059.34
  5. Step 5: Solve for x
    x = 617,059.34/358.59
  6. Step 6: Final answer
    x = 1,720.78

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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.