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Finding the Third Proportional to 499.69 and 730.97

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Solution

The third proportional to 499.69 and 730.97 is: 1,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.69 : 730.97 = 730.97 : x
  2. Step 2: Convert to fraction form
    499.69/730.97 = 730.97/x
  3. Step 3: Cross multiply
    499.69x = 730.97 × 730.97
  4. Step 4: Simplify right side
    499.69x = 534,315.31
  5. Step 5: Solve for x
    x = 534,315.31/499.69
  6. Step 6: Final answer
    x = 1,069.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.