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Finding the Third Proportional to 340.69 and 509.81

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Solution

The third proportional to 340.69 and 509.81 is: 762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.69 : 509.81 = 509.81 : x
  2. Step 2: Convert to fraction form
    340.69/509.81 = 509.81/x
  3. Step 3: Cross multiply
    340.69x = 509.81 × 509.81
  4. Step 4: Simplify right side
    340.69x = 259,908.79
  5. Step 5: Solve for x
    x = 259,908.79/340.69
  6. Step 6: Final answer
    x = 762.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.