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Finding the Third Proportional to 340.03 and 515.67

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Solution

The third proportional to 340.03 and 515.67 is: 782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.03 : 515.67 = 515.67 : x
  2. Step 2: Convert to fraction form
    340.03/515.67 = 515.67/x
  3. Step 3: Cross multiply
    340.03x = 515.67 × 515.67
  4. Step 4: Simplify right side
    340.03x = 265,917.48
  5. Step 5: Solve for x
    x = 265,917.48/340.03
  6. Step 6: Final answer
    x = 782.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.