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Finding the Third Proportional to 514.69 and 785.53

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Solution

The third proportional to 514.69 and 785.53 is: 1,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.69 : 785.53 = 785.53 : x
  2. Step 2: Convert to fraction form
    514.69/785.53 = 785.53/x
  3. Step 3: Cross multiply
    514.69x = 785.53 × 785.53
  4. Step 4: Simplify right side
    514.69x = 617,059.34
  5. Step 5: Solve for x
    x = 617,059.34/514.69
  6. Step 6: Final answer
    x = 1,198.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.