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Finding the Third Proportional to 343.83 and 761.06

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Solution

The third proportional to 343.83 and 761.06 is: 1,684.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.83 : 761.06 = 761.06 : x
  2. Step 2: Convert to fraction form
    343.83/761.06 = 761.06/x
  3. Step 3: Cross multiply
    343.83x = 761.06 × 761.06
  4. Step 4: Simplify right side
    343.83x = 579,216.13
  5. Step 5: Solve for x
    x = 579,216.13/343.83
  6. Step 6: Final answer
    x = 1,684.61

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.