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Finding the Third Proportional to 303.06 and 511.94

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Solution

The third proportional to 303.06 and 511.94 is: 864.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.06 : 511.94 = 511.94 : x
  2. Step 2: Convert to fraction form
    303.06/511.94 = 511.94/x
  3. Step 3: Cross multiply
    303.06x = 511.94 × 511.94
  4. Step 4: Simplify right side
    303.06x = 262,080.00
  5. Step 5: Solve for x
    x = 262,080.00/303.06
  6. Step 6: Final answer
    x = 864.77

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.